# Hard rubber ball is thrown down from a building with a height of 5 metres. After each bounce, the ball rises to 4/5 of its previous height. Total vertical distance d ball has travelled at the moment it hits the

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### Calculus

Hard rubber ball is thrown down from a building with a height of 5 metres. After each bounce, the ball rises to 4/5 of its previous height. Total vertical distance d ball has travelled at the moment it hits the ground for the 8th time, to the nearest 10th of a metre, is.....

### Math 12

A hard rubber ball is dropped from a moving van with a height of 5 metres. The ball rises to 80% of the previous height after each bounce. a) determine the total vertical distance the ball has traveled when it strikes the ground the eighth time. b) estimate the total vertical ...

### math

a ball is dropped from a height of 5m. after each bounce, the ball rises to 45% of its previous height. what the total vertical distance that the ball has travelled after it has hit the ground for for the 6th time? what are the formulas? because the ball bounces twice each time

### Calculus

A ball is dropped from a height of 10 feet and bounces. Each bounce is ¨ú of the height of the bounce before. Thus, after the ball hits the floor for the first time, the ball rises to a height of 10(¨ú ) = 7.5 feet, and after it hits the second floor for the second time, ...

### Math

I need some help with these quesitons 1. a1 = -1, and an = 4/3an-1 for n = 2, 3, 4, ___. What is the common ration, r, for this sequence? 2. A rubber ball is dropped from a height of 50 ft. Assume that each bounce of the ball is vertical and that each bounce reaches a height ...

### Math

I need some help with these quesitons 1. a1 = -1, and an = 4/3an-1 for n = 2, 3, 4, ___. What is the common ration, r, for this sequence? 2. A rubber ball is dropped from a height of 50 ft. Assume that each bounce of the ball is vertical and that each bounce reaches a height ...

### math

1.A ball is dropped from a height of 2.0, to a floor. After each bounce, the ball rises to 63% of its previous height What is the total vertical distance the ball has travelled after 5 bounces? 2.An oil produces 25000 barrels of oil durign its first month of production. ...

### physics

A superball is dropped from rest from a height of 2.0m. It bounces repeatedly from the floor, as superballs are prone to do. After each bounce the ball dissipates some energy, so eventually it comes to rest. The following pattern is observed: After the 1st bounce, the ball ...

### physics

A superball is dropped from rest from a height of 2.0m. It bounces repeatedly from the floor, as superballs are prone to do. After each bounce the ball dissipates some energy, so eventually it comes to rest. The following pattern is observed: After the 1st bounce, the ball ...

### Algebra

A ball is dropped from the height of 20m. It bounces 60% of its previous height each bounce. The total distance travelled is made of the upward and downward bounces. What is the total vertical distance the ball has travelled after the sixth bounce?

### pre-calc

A ball is dropped from the top of a 25-m ladder. In each bounce, the ball reaches a vertical height that is 3/5 the previous vertical height.Determine the total vertical distance traveled by the ball when it contacts the ground for the sixth time. Express your answer to the ...

### algebra 2

Lizette drops a ball from a height of 256 feet. The peak height after each bounce is 75% the previous height. How much vertical distance does the ball travel from the time she drops it until it touches the ground after its fourth bounce

### math

A ball is dropped from a height of 256 ft. With each bounce, the ball reaches a height that is half the height of the previous bounce. After which bounce will the ball rebound to a maximum height of 1 ft?

### math

A ball is dropped from a height of 256 ft. With each bounce, the ball reaches a height that is half the height of the previous bounce. After which bounce will the ball rebound to a maximum height of 1 ft?

### 5th grade math

On each bounce a ball reaches 4/5 of the height of its previous bounce.How high will the ball bounce on its 3rd bounce? Also, how many bounces will it take the ball to bounce to a height that is less than 1/2 of the height of the first bounce?

### Math

A rubber ball is dropped from the top of a building, which is 40 ft. above the ground. Each time the ball hits the sidewalk, it rebounds 77% of its previous height. How high will the ball rebound after its sixth bounce? Round your answer to the nearest 10th. 8.3 ft. 10.5 ft. ...

### Algebra II

Help me with this, please... A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 percent of maximum height of the previous bounce. a. Write the first three terms of the sequence. Explain how you know what ...

### Algebra 2

A ball is dropped from a height of 25 feet and allowed to continue to bounce until it eventually comes to a rest. Each time the ball bounces it rebounds to 45 of its previous height. After which bounce is the ball's rebound height 10.24 ft?

### math

A ball is dropped from a height of 5 ft. Assuming that on each bounce the ball rebounds to one-third of its previous height, find the total distance travelled by the ball.

### 8th grade math

A rubber ball loses 30% of its height each A rubber ball loses 30% of its height with each bounce How high is the first bounce if the ball is dropped from a height of 500 cm?

### Calc2

A) A ball is dropped from "M" meters above a flat surface. Each time the ball hits the surface after falling a distance, h, it rebounds a distance d, where 0<r<1. Find the formula that represents the total distance the ball travels up and down. B) Use the formula in part...

### math

i am having difficulties figuring this out.... a ball has dropped from a height of 15m and bounces 60% of the previous height. the total distance ball travels after the 9th bounce is... i got this equation done but i do not know how to calculate this to find the answer 15(0.6^...

### physics

a rubber ball is dropped from a height of 5m. After the 5th bounce, the ball only comes back up to 0.76m in height/ Find the percentage loss of kinetic energy for each individual bounce.

### math

a ball is dropped from a height of 3m and bounces on the ground . At the top of each bounce, the ball eaches 60% of its previous height. Calculate the total distance travelled by the ball when it hits the ground for the fifth time

### math

a student drop a rubber ball from a height of 8 feet . Each time the ball hits the ground, it bounces to 75% of its previous height. a/ how far does the ball travel between tne second and third bounces . b/ write an infinite series to model the total distance tralveled by the ...

### Calc

When a certain type of ball falls froma height of h onto a hard level surface, it bounce straight back up to a height of kh, where k is constant with 0<k<1. suppose this ball is dropped from an initial height h0 a) let the terms of the sequence {hn}from n=1 to infinity ...

### physics

A ball is launched from the ground at a 45 degree angle above the horizontal (which we take to be the x-axis). It rises to a maximum height, falls back down to the ground and bounces. After the bounce its velocity again makes a 45◦ angle to the horizontal x-axis, but the...

### 11

A ball is dropped vertically from height of 30 meters after bounces.The ball reaches a max height to 60% of height of the previous bounce. What are the terms of the sequence. What is the height to the nearest tenth of a meter of the ball after the tenth bounces?

### algebra

When thrown into the air from the top of a 50 ft building, a ball’s height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2...

### college

A blue ball is thrown upward with an initial speed of 19.8 m/s, from a height of 0.5 meters above the ground. 2.4 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 7.9 m/s from a height of 22.5 meters above the ground. The force of ...

### physics

A blue ball is thrown upward with an initial speed of 21.0 m/s, from a height of 0.8 meters above the ground. 2.6 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.3 m/s from a height of 24.6 meters above the ground. The force of ...

### physics

A blue ball is thrown upward with an initial speed of 21.0 m/s, from a height of 0.8 meters above the ground. 2.6 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.3 m/s from a height of 24.6 meters above the ground. The force of ...

### science

Science Experiment Determine a mathematical modelwhich describes the height of a ball in terms of th number of bounces after it has been droped from a given height. If a ball that bounces like a tenniis ball, is dropped from a given height, then it will bounce to a height less...

### Physic

A blue ball is thrown upward with an initial speed of 21.0 m/s, from a height of 0.8 meters above the ground. 2.6 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.3 m/s from a height of 24.6 meters above the ground. The force of ...

### maths

A ball is dropped from a height of 1 metre. At every bounce it travels half of the height it travelled it with the previous flight. Find the total distance travelled when the ball comes to rest.

### math

Here is the question: a ball is dropped from a height of 3m and bounces on the ground . At the top of each bounce, the ball eaches 60% of its previous height. Calculate the total distance travelled by the ball when it hits the ground for the fifth time? I know you need the n, ...

### Physic!

A blue ball is thrown upward with an initial speed of 23 m/s, from a height of 0.5 meters above the ground. 2.8 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 6.6 m/s from a height of 28.9 meters above the ground. The force of gravity...

### physics

Q: A blue ball is thrown upward with an initial speed of 23 m/s, from a height of 0.5 meters above the ground. 2.8 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 6.6 m/s from a height of 28.9 meters above the ground. The force of ...

### phy

A blue ball is thrown upward with an initial speed of 20.6 m/s, from a height of 0.8 meters above the ground. 2.5 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.2 m/s from a height of 23.7 meters above the ground. The force of ...

### alg

suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after its third bounce. round to the nearest tenth.. my teacher told be the answers 9.2 but i don't know how she ...

### alg2

suppose you drop a tennis ball from a height of 15 feet. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after its third bounce. round to the nearest tenth.. my teacher told be the answers 9.2 but i don't know how she ...

### Geometric Series question? Help!?

A bouncy ball bounces to 2/3 of its height when dropped on a hard surface. Suppose the ball is dropped from 20 m. What is the height of the ball after the 6th bounce? Answer = 1280/729 m OR 1.75 m What is the total distance travelled by the ball after 10 bounces? 98.6 m So, I ...

### algebra

a ball falls from a height of 2.4m and bounces from the same spot, each bounces rise to 3/5 the height of the preceeding bounce. a. write the series of the movement from start to the eighth bounce. b.Find th etotal distance moved by the ball as indicated in (a) above c. Find ...

### physics

A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25.0 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 22.9 m/s, from a height of 0.8 meters above the ground. The force of ...

### Physics

A red ball is thrown down with an initial speed of 1.3 m/s from a height of 28.0 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.7 m/s, from a height of 0.8 meters above the ground. The force of ...

### Math M131A

a rubber ball has the property that on any bounce it returns to 1/3 of the height from which it just fell. Suppose the ball is dropped from 108 ft How far has the ball traveled by the fourth bounce?

### algebra

A ball is dropped from a height of 30 feet and allowed to bounce until it comes to arrest each time the ball bounces it rebounds to 3/5 of its previous high after which bounce is the boss hi 10.8 feet. I understand the height gets shorter but is there a equation to solving ...

### Maths

A ball is dropped from a height of 80ft.The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for the height the ball rebounds on the nth bounce?

### Maths

A ball is dropped from a height of 80ft.The elasticity of this ball is such that it rebounds three-fourths of the distance it has fallen. How high does the ball rebound on the fifth bounce? Find a formula for the height the ball rebounds on the nth bounce?

### Math

A ball is dropped vertically. It reaches a height of 1.6m on the first bounce. The height of each subsequent bounce is 80% of the previous bounce. A. Find the height the ball reaches on the 6th bounce. B. Find the sum of the first seven terms of this sequence.

### Math

Fay's rubber ball bounces exactly half the height from which it is dropped. She drops the ball from the top of a building that is 64 meters tall. How high will the ball bounce on its eighth bounce. Could someone explain this? Thank you! Natalie 1/2 of 64= 32. 32 feet is how ...

### math

Fay's rubber ball bounces exactly half the height from which it is dropped. she drops the ball from the top of a building that is 64 meters tall. how high will the ball bounce on its eight bounces? please help me

### physics

A ball is thrown horizontally with an initial velocity of 20.0 m/s from the edge of a building of a certain height. The ball lands at a horizontal distance of 82.0 m from the base of the building. What is the height of the building?

### calculus

A ball has bounce coefficient 0 < r < 1 if when it is dropped from height h, it bounces back to a height of rh. Suppose that such a ball is dropped from an initial height a and subsequently bounces infinitely may times. Find the total up-and-down distance in all its ...

### Physics

Hypothetically, you are standing on the balcony of an apartment on the 10th level of a building and you throw a ball at some angle,è , above the horizontal away from the building. the ball lands on the ground 10m from the building, 3.2s after it was thrown. the height from ...

### physics

When baseball players throw the ball in from the outfield, they sometimes allow it to take one bounce before it reaches the infield on the theory that the ball arrives sooner that way. Suppose the angle at which a bounced ball leaves the ground is the same as the angle at ...

### physics

A red ball is thrown down with an initial speed of 1.0 m/s from a height of 27.0 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.5 m/s, from a height of 0.7 meters above the ground. The force of ...

### Math

A ball that is hit or thrown horizontally ball that is hit or thrown horizontally with a velocity of v metres per second will travel a distance d metres before hitting the ground, where d=v square root h/ 4.9 and h is the height, in metres, from which the ball is hit or thrown...

### Physics

HELP PLEASE. Hypothetically, you are standing on the balcony of an apartment on the 10th level of a building and you throw a ball at some angle, 0 , above the horizontal away from the building. the ball lands on the ground 10m from the building, 3.2s after it was thrown. the ...

### Science 10

A person hits a 45-g golf ball. The ball comes down on a tree root and bounces straight up with an initial speed of 14.0 m/s. Determine the height the ball will rise after the bounce The equation is height= 1/2 velocity^2 / g where g is 9.8m/s^2

### 6th grade

each time a ball bounces it returns to a height 2/3 the hight of the previous bounce. after the third bounce, the ball returns to a hight of 4ft. from what height was it dropped

### algebra 2

A rubber ball is thrown 20 feet into the air. If it rebounds 3/5 of the height, how far will it have traveled after the fifth bounce?

### algebra 2

A rubber ball is thrown 20 feet into the air. If it rebounds 3/5 of the height, how far will it have traveled after the fifth bounce?

### calculus

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 64 ft/sec, its height after t seconds is s(t)=64+64t–16t2 . What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0 )?

### Calculus

If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 112 ft/sec, its height after t seconds is s(t)=32+112t–16t2 . What is the maximum height the ball reaches?What is the velocity of the ball when it hits the ground (height 0 )?

### Math

Please explain how to figure out the following 7th grade math problem: If a rubber ball bounces exactly 1/2 the height from which it is dropped; and it is dropped from the top of a building that is 64 meters tall, how high will the ball bounce on its eighth bounce?

### physics, please help me, this question is hard

John Stands at the edge of a flat roof of a three story building and throws a 180g ball straight up into the air that reaches a height of 3.0 meters above the roof. ( building is 14 meters high) A. What is the initial speed of the ball? B. How long does it take to reach it's ...

### physics

A ball is tossed so that it bounces off the ground, rises to a height of 0.90 m, and then hits the ground again 0.50 m away from the first bounce. How long is the ball in the air between the two bounces? What is the ball's velocity in the x-direction? What is the ball's speed ...

### physics

A ball is tossed so that it bounces off the ground, rises to height of 2 m, and then hits the ground again 0.75 m away from the first bounce. a. How long is the ball in the air between the two bounces? b. What is the velocity in the x-direction of the ball? c. What is the ...

### calculas

If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 80 ft/sec, its height after t seconds is s(t)=48+80t–16t2. What is the maximum height the ball reaches? (my answer is 148). What is the velocity of the ball when it hits the ground (...

### College Calculus

If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 96 ft/sec, its height after t seconds is s(t)=48+96t−16t^2. What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0)?

### Physics

Carlos is in an roof of a building of 20 meters tall, he throws a tennis ball vertically upwards at 15 m/s velocity after it reaches its highest height, the ball goes down until it reaches the ground (see the figure). Based on this information, answer the following. a) Time ...

### Physics

Carlos is in an roof of a building of 20 meters tall, he throws a tennis ball vertically upwards at 15 m/s velocity after it reaches its highest height, the ball goes down until it reaches the ground (see the figure). Based on this information, answer the following. a) Time ...

### MATH :-\

Stumped again .. A ball was dropped and measured rebound heights (in ft.) after each bounce. It was found that the rule y= 15(0.80^x) could be used to predict the rebound height of the ball, where y is the bounce height and x is the bounce number. From what initial height did ...

### Math

A ball is thrown 16 m into the air. The ball falls, rebounds to half its previous height, and falls again. If the ball continues to rebound and fall in this manner, find the total distance the ball travels until it hits the ground for the sixth time.

### Tennessee Technological university

Math if a rubber ball drops from a height of 28 meters, and on each bounce it rebounds up 30% of its previous height, how far will it traveled at the moment it hits the ground for the 16th time

### math

A tennis ball is dropped from a height of 7 ft. If the ball rebounds 2/3 of its height on each bounce, how far will the ball travel before coming to rest? (Find the total distance that the ball will travel before it stops bouncing.) i need help i don't know which formula to ...

### phusics

A ball is thrown vertically upward from top of a building with speed of 20m/s. On the way back ball misses the building and lands on the ground. Total time the ball is in air is 6 seconds. Determine the height of the building.

### math

If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 80 ft/sec, its height after t seconds is s(t)=32+80t–16t2. What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0)? for max...

### Physics/ Precalculus

If a ball is thrown upward from a building 30 m tall and the ball has a vertical velocity of 25 m/s, then its approximate height above the ground t seconds later is given by h(t) = 30 + 25t - 5t^2 a. After how many seconds does the ball hit the ground? b. What is the domain of...

### Algebra

A rubber ball rebounds 3/5 of the height from which it falls. If it is initially dropped from a height of 30 ft. What total vertical distance does it travel before coming to rest?

### math

how do i work out the following word problem. a particular ball retains half of its heght on each bounce when dropped from a height of 80 m. give the height of the ball on the fifth bounce after being dropped?(will the ball comes to rest?)

### Calculus Help

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 32 ft/sec, its height after t seconds is s(t)=64+32t–16t2. What is the maximum height the ball reaches "in ft"? What is the velocity of the ball when it hits the ground (height 0) "in ...

### physics

A red ball is thrown down with an initial speed of 1.4 m/s from a height of 28 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.9 m/s, from a height of 0.9 meters above the ground. The force of ...

### maths lit

a ball is dropped from a height of 2r1/3 meters. It bounces to 3/4 of the height from which it fell at each boune. A) determine the height the ball reaches after one bounce. B) how many bounces does it take to bounce less than 1 meter high??

### physics

A blue ball is thrown upward with an initial speed of 20.6 m/s, from a height of 0.8 meters above the ground. 2.5 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.2 m/s from a height of 23.7 meters above the ground. The force of ...

### physicssssss

A blue ball is thrown upward with an initial speed of 20.6 m/s, from a height of 0.8 meters above the ground. 2.5 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.2 m/s from a height of 23.7 meters above the ground. The force of ...

### Physics

A red ball is thrown down with an initial speed of 1 m/s from a height of 27 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.5 m/s, from a height of 0.7 meters above the ground. The force of ...

### Math Calc

If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 112 ft/sec, its height after t seconds is s(t)=48+112t–16t^2. What is the maximum height the ball reaches "in ft"?What is the velocity of the ball when it hits the ground (height 0) "...

### math

The only part of the height equation that we have not discussed is the constant. You have probably noticed that the constant is always equal to the initial height of the ball (80 m in our previous exercises). Now, let’s have you develop a height equation. A ball is thrown ...

### College Algebra

Flight of a Ball If a ball is thrown upward at 96 feet per second from the top of a building that is 100 feet high, the height of the ball can be modeled by S(t)=100 + 96t -16t^2 feet, where t is the number of seconds after the ball is thrown. How long after the ball is thrown...

### AP Physics

A ball of mass 0.1 kg is attached to a rubber band, which we can model as a spring of stiffness 8 N/m. With one end of the rubber band fixed, you throw the ball vertically upward with an initial speed of 14 m/s. At the moment the ball leaves your hand, the rubber band is ...

### physics

A ball is dropped from the initial height h1 above the concrete floor and rebounds to a height of equal to 67% of the initial height h1. What is the ratio of the speed of the ball right after the bounce to the speed of the ball just before the bounce? This ratio is called ...

### physics

A ball is dropped from the initial height h1 above the concrete floor and rebounds to a height of equal to 60% of the initial height h1. What is the ratio of the speed of the ball right after the bounce to the speed of the ball just before the bounce? This ratio is called ...

### Physics

A red ball is thrown down with an initial speed of 1.2 m/s from a height of 25 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 22.9 m/s, from a height of 0.8 meters above the ground. The force of ...

### math

A person standing on the roof of a building throws a ball directly upward. The ball misses the rooftop on its way down and eventually strikes the ground. The function s(t) = −16t2 + 64t + 80 describes the ball’s height above the ground, s(t) , in feet, t , seconds ...

### maths

a ball is dropped from a height of 40cm onto a horizontal surface and bounces in a vertical line until it eventually stops on the surface. the ball bounces in such a way that it loses ten percent of its height for each bounce and will continue to do this until it comes to rest...

### Physics

You drop a ball from a height of 2.0 m and it bounces back to a height of 1.5 m (a) What fraction of its initial energy is lost during the bounce? (b) What is the ball’s speed just at it leaves the ground after the bounce?

### physics

You drop a ball from a height of 2.0 m and it bounces back to a height of 1.5 m (a) What fraction of its initial energy is lost during the bounce? (b) What is the ball’s speed just at it leaves the ground after the bounce?