# A rocket is launched straight up with constant acceleration. Four seconds after liftoff, a bolt falls off the side of the rocket. The bolt hits the ground 6.50 s later.

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### Calculusss heeelp plzzz

A rocket is being tracked from a radar post that is 10 km from the launch pad.the rocket arises vertically at a height of 17.32 km and then turns at an angle of 30 degrees fron the vertical directly away from the radar post .it then travels  at the constant speed of 12000 km/...

### Physics

The potential difference between a storm cloud and the ground is 2.13 Ã— 108 V. If a bolt carrying 2 C falls from a cloud to Earth, what is the magnitude of the change of potential energy of the charge? Answer in units of J.

### physics

A stone is launched straight up by a slingshot. Its initial speed is 20.1 m/s and the stone is 1.30 m above the ground when launched. Assume g = 9.80 m/s2. (a) How high above the ground does the stone rise? (b) How much time elapses before the stone hits the ground?

### Calculus

A television camera is positioned 2500 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also the mechanism for focusing the camera has to take into account the increasing ...

### Calculus

A television camera is positioned 2500 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also the mechanism for focusing the camera has to take into account the increasing ...

### Physics

On a planet that has no atmosphere, a rocket 14.2 m tall is resting on its launch pad. Freefall acceleration on the planet is 4.45 m/s2. A ball is dropped from the top of the rocket with zero initial velocity. (a) How long does it take to reach the launch pad? (b) What is the ...

### college algebra

a rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after it is fired, is given by h=-16t^2+32t+560.

### college algebra

A rocket is fired upward from some initial distance above the ground. Its height in​ feet, h,above the​ ground, t seconds after it is​ fired, is given by h=−16t^2+64t-3072

### Physics

A rocket blasts off with acceleration of 5 m/s squared. After 1 min it runs out of fuel. What is the max height and total time in the air?

### physics

A stone is launched straight up by a slingshot. Its initial speed is 20.6 m/s and the stone is 1.59 m above the ground when launched. How high above the ground does the stone rise? How much time elapses before the stone hits the ground?

### physics

Assuming 100% transfer of energy in the system, please calculate maximum KE (Kinetic Energy) that the rocket has if the rocket were to again a height of 25 meters. Rocket mass = 0.5 kilograms, and gravity = 9.8 m/s^2

### physics

A 7710-kg rocket is set for vertical firing from the earth's surface. If the exhaust speed is 1350 m/s, how much gas must be ejected each second in order for the thrust to be equal to the weight of the rocket? How much gas must be ejected each second to give the rocket an ...

### physics

A rocket is fired at an angle from the top of a tower of height h0 = 65.5 m . Because of the design of the engines, its position coordinates are of the form x(t)=A+Bt2 and y(t)=C+Dt3, where A, B, C , and D are constants. Furthermore, the acceleration of the rocket 1.50 s after...

### physics

A 1000kg rocket is moving forward at 10m/s in space. A 10,000N force is applied to the rocket for one second from behind. How fast is the rocket now traveling? a. 0m/s b. 10m/s c. 15m/s d. 20m/s

### Physics

Mr. Anderson shoots an arrow straight up into the air. The arrow leaves her bow at 1.2[m] above ground, and reaches a height of 95 feet above ground. It then falls down and penetrates 14 inches into the ground. Find: a) The velocity of the arrow just before reaching the ground...

### Physics!

Ms. Anderson shoots an arrow straight up into the air. The arrow leaves her bow at 1.2[m] above ground, and reaches a height of 95 feet above ground. It then falls down and penetrates 14 inches into the ground. Find: a) The velocity of the arrow just before reaching the ground...

### PHYSICS

Ms. Anderson shoots an arrow straight up into the air. The arrow leaves her bow at 1.2[m] above ground, and reaches a height of 95 feet above ground. It then falls down and penetrates 14 inches into the ground. Find: a) The velocity of the arrow just before reaching the ground...

### physics

A rocket is fired at 1500 m/s at an angle of 50 degrees with respect to the ground. a)What are the horizontal and vertical velocities at 10 seconds. b)What is the actual velocity at 10 seconds.

### calculus

1. A rocket is fired vertically into the air. Six kilometers away, a telescope tracks the rocket. At a certain moment, the angle between the telescope and the ground is and is increasing at a rate of 0.6 radians per minute. (See the picture. I have defined y to be the height ...

### AlgebraB-2

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.04x+ 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ...

### calculus

Wiley jumps straight up in the air from the edge of a cliff so that when he comes down he falls off the cliff. The cliff is 40 feet off the ground. His height t seconds after he jumps is s= -16t2 + 12t + 40.What is the maximum height? What is his maximum velocity?

### pre ap math

a toy rocket is launched from a platform that is 48 feet high. the rockets height above the ground is modeled by h=-16t^2+32t+43.

### Physics

You throw a plate off your roof with a speed of 10.0 m/s. 4.00 seconds later it hits the ground? How far? What equation do i use? Variables explain!

### Physics

You throw a plate off your roof with a speed of 10.0 m/s. 4.00 seconds later it hits the ground? How far? What equation do i use? Variables explain!

### Physics

Suppose a rocket ship in deep space moves with constant acceleration equal to 9.80 m/s2, which gives the illusion of normal gravity during the flight. (a) If it starts from rest, how long will it take to acquire a speed 12% that of light, which travels at 3.0 × 108 m/s? (b) ...

### math

A wrench 0.4 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of ⟨0,1,5⟩ at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt.

### Basic Numeracy and statistics (math)

A rocket is shot into the air with an initial velocity of 800m/sec. The equation h = -16t2+144t models the height of the ball. how long does it take for the rocket to hit the ground (h=0)?

### physics

A 15.0-kg test rocket is fired vertically from Cape Canaveral. Its fuel gives it a kinetic energy of 1961 J by the time the rocket motor burns all the fuel. What additional height will the rocket rise? m - how do you organize this? how do the J's fit in?

### science

A 1000kg rocket is set vertically on its launching pad. The propellent is expelled at the rate of 2kg/s. Find the minimum velocity of the exhaust gases so that rocket just begin to rise. Also find rocket's velocity 10second after ignition, assuming the minimum exhaust velocity.

### Physics

An antitank weapon fires a 3.0 kg rocket which acquires a speed of 50. m/s after traveling 90. cm down a launching tube. Assuming the rocket was accelerated uniformly, what force acted on it?

### Calculus

The altitude attained by a model rocket t seconds into flight is given by the equation: -t^3+3t^2+20t-3 where t is greater than or equal to 0 seconds. find the maximum altitude attained by the rocket. first I found the derivative of the original equation and set it to 0. which...

### physics

A projectile is launched at ground level with an initial speed of 56.0 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.90 seconds later. What are the x and y distances from where the projectile was launched to where it lands?

Hi Can anyone help me solve the quadratic equation for the following:- The motion of a two stage rocket is stated by it height y in metres above the ground since t seconds since launch. Flies vertically Ist stage burns for 5 seconds and cuts out. 2nd stage rocket is under ...

### Physics

A projectile is launched at ground level with an initial speed of 51.5 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.50 seconds later. What are the x and y distances from where the projectile was launched to where it lands? ?!?! No idea...

### intermediate algebra

A projectile is launched directly upward from the top of a 112 - foot building with an initial velocity (speed) of 96 feet per second. This translates to the h(t) = -16t^2 + 96t + 112 where h(t) is the height of the projectile in feet and t is the time in seconds after it is ...

### physics

During liftoff, a hot-air balloon accelerates upward at a rate of 3.3m/s^2. The balloonist drops an object over the side of the gondola when the speed is 15m/s. Part A: What is the magnitude of the object’s acceleration after it is released (relative to the ground)? Part B: ...

### Calc 3

A wrench .9m long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of (0,1,3) at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 J of torque to the bolt. This is the formula i have: T=|r ...

### math

The height in meters of a projectile launched from the top of a building is given by h(t)=-5t^2+60t+15, where t is time in seconds since it was launched. a) How tall is the building? b) At what time does the projectile hit the ground? C)What is the velocity(rate of change with...

### Calculus

Could someone please explain on how to do this question step-by-step. Thank you! A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and the force makes an angle of 60 degree with the wrench. What is the magnitude of the force used ...

### Calculus

Could someone please explain on how to do this question step-by-step. Thank you! A bolt is being loosened by a 40 cm wrench. The torque in this situation has a magnitude of 12 J and the force makes an angle of 60 degree with the wrench. What is the magnitude of the force used ...

### Physics

A soccer player kicks a 0.43 kg ball straight up to see how far it will rise. The ball starts with a velocity of 16m/s at a height of 0.85m above the ground. It rises then falls straight down to the ground. a) what is the total energy of the ball just after it is kicked? b) ...

### math

If a rocket is shot upward with an initial speed of 176 feet per second from a platform 64 feet above the ground, when will the rocket be at its maximum height and how high will it be? Hint: The graph of a parabola is symmetric.

### physics

A toy rocket is launched at an initial velocity of 50 m/s at an angle of 75° with the horizontal. Write parametric equations to represent the path of the rocket. (A)x = 50t cos 75°y = 50t sin 75° – 4.9t2 (B)x = 50t cos 75°y = 50t sin 75° – 16t2

### physics

A rocket blasts off vertically from rest on the launch pad with an upward acceleration of 2.80 . At 30.0 after blastoff, the engines suddenly fail, which means that the force they produce instantly stops.

### Physics

A rocket which is 700000kg(given that the rocket never loses mass) working with 10.000.000 Newton, how much is the acceleration? basic question, but i was wondering about the gravitation how would you calculate this.

### math

Teacher: 15 seconds after the buzzer, the teacher has 135 meters to finish. 32 seconds after he left the starting line, the teacher has run 50 meters left. Usian Bolt: 22 seconds after the buzzer, Usain has 189 meters to finish.36 seconds after the buzzer, he has 42 meters to ...

### Physics

A bolt requires 15 Nm or torque to loosen it. How much force needs to be applied to a 20 cm long wrench to loosen the bolt? Assume the force is applied perpendicular to the handle of the wrench.

### Physics Projectile Motion

A projectile is launched at ground level with an initial speed of 51.5 m/s at an angle of 35.0° above the horizontal. It strikes a target above the ground 2.50 seconds later. What are the x and y distances from where the projectile was launched to where it lands?

### physics

A ball dropped from a sixth floor window accelerates at 10m/s squared. After 2 seconds it hits the ground. It bounces back with a velocity of -15m/s squared. A. What is the balls velocity when it hits the ground? b. The ball is in contact with the ground for 0.02 s when it ...

The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises ...

### gr 11 physics

as a rocket carrying a space probe acceleraes away from earth the fuel is being used up and the rocket's mass becomes less when the mass of a rocket(and its fuel) is M and the distance of the rocket from eart's centre is 1.5rE, the force of gravitational attraction between ...

### physics

During liftoff, a hot-air balloon accelerates upward at a rate of 3.4 m/s^2 . The balloonist drops an object over the side of the gondola when the speed is 18 m/s. What is the magnitude of the object’s acceleration after it is released (relative to the ground)?

### Algebra 1b!

Could you guys check my answers? 1. Graph the function and identify the domaine and range. y=-1.5^2 Domain; (-,+) Range; (-,0) ( my answers.) 2.How is the graph of y=-2x^2-5 different from the graph of y=-2x^2 It is shifted units up it is shifted 5 units down <--- It is ...

### physics

c) The rocket is launched a third time with the same initial velocity as before at an angle of 45 degrees. This time we want to launch the rocket so that it goes through a field goal post at a height of 7.9 meters in the air. Calculate the time the rocket will be in the air ...

### Physics

A cargo plane is flying horizontally at an altitude of 10000m with a velocity of 800km/h when a cargo pallet falls out the back ramp. (i) How long does it take to fall to the ground? (ii) How far horizontally is the pallet from where it fell off when it hits the ground? (iii) ...

### Mechanics

If a stone falls past a bird on a ledge moving at 4 m/s, how fast will the stone be moving just before it hits the ground below 9 seconds later?

### Physics

1. Which statement below is true? a. If a car is traveling eastward, its acceleration is eastward. b. If a car's speed is decreasing, its acceleration must be negative. c. If a particle is moving, it must have a non-zero acceleration. d. A moving particle with constant ...

### physics

A model rocket is launched with an initial velocity of 10 m/sec at an angle of 45° to the ground. What is the total time of flight? What is the highest point in its trajectory? What is the horizontal range archieved?

### physics

A model rocket is launched with an initial velocity of 10 m/sec at an angle of 45° to the ground. What is the total time of flight? What is the highest point in its trajectory? What is the horizontal range achieved?

### physics

A negative acceleration is sometimes called a deceleration. What is the acceleration of a water rocket launched at 25m/s if it reaches its maximum height at 2.5s? (Note its speed at maximum height is zero!)

### physics !!!!!!!!!!!!!

The waterfall "Angel Falls" in Venezuela is the world's tallest at h=979 m. Assume that the water's velocity on the top of the falls and on the bottom of the falls (after it hits the ground and begins to flow away) is equal, and that no total energy is lost by the water to the...

### pre-algebra

mr conner's students made kites in science class. he brought a 500-yd bolt of twine to tie to the kites. if he wants to give each student a piece of twine 331/3 yards long. what is the maximum number of pieces of twine mr. conner will be able to make from the bolt of twine?

### Physics

In January 2004, NASA landed exploration vehicles on Mars. Part of the descent consisted of the following stages: Stage A: Friction with the atmosphere reduced the speed from 19300km/h to 1600km/h in 4.0min Stage B: A parachute then opened to slow it down to 321km/h in 94s ...

### Chemistry

Assume that you had 15 nuts (N) and 10 bolts (B). How many N2B molecules could you make by screwing two nuts onto each bolt? There are two nuts for each bolt. We have 15 nuts so we can make 7. I'm supposed to "Show all calculation for full credit." Is there anyway of setting ...

### machanics

can u tell me what formula i should be using to answer this question? If a stone falls past a bird on a ledge moving at 4 m/s, how fast will the stone be movingjust before it hits the ground below 9 seconds later? A. 92.2 m/s B. 48.2 m/s C. 352.8 m/s D. 36 m/s

### machanics\

can u tell me what formula i should be using to answer this question? If a stone falls past a bird on a ledge moving at 4 m/s, how fast will the stone be movingjust before it hits the ground below 9 seconds later? A. 92.2 m/s B. 48.2 m/s C. 352.8 m/s D. 36 m/s

### Physics

Pam has a mass of 44.0 kg and she is at rest on smooth, level, frictionless ice. Pam straps on a rocket pack. The rocket supplies a constant force for 22.0 m and Pam acquires a speed of 58.0 m/s.

### Physics

a. 2 objects each of mass 200 kg and 500 kg are separated by 50 cm. Where body of mass 20 kg should be placed so that the resultant force of gravity experienced by objects equal to zero? b. launched a rocket leaving Earth. Known radius of the earth 6.4 x 10 ³ km and ...

### physics

A space aircraft is launched straight up. The aircraft motor provides a constant acceleration for 10seconds, then the motor stops. The aircraft's altitude 15seconds after launch is 2km. Ignore air friction. Determine (i) the acceleration, (ii)the maximum speed reached in km/h...

### 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 ...

### physics

An apple falls off a tree branch located 35 meters off the ground. How many seconds does it take to hit the ground?

### Physics (Energy and Momentum)

A 4400 kg rocket is set for vertical firing. If the exhaust speed is 1500 m/s, at what rate (in kilograms/second) must the gas be ejected to supply the thrust needed to give the rocket an initial upward acceleration of 23.0 m/s^2? Not sure where to start.

### physic

A cannon ball is fired at an angle of 30° above horizontal with an initial speed vi = 55 m/s. Assume the cannon ball leaves the cannon at ground level and ignore air resistance. (a) How long is the cannon ball in the air? (b) How far from the base of the cannon does the ...

### physic

A projectivle is launched with an initial speed of 40m/s at an angle of 35 degree above the horizontal. The projectitile lands on a hillside 4s later. negelct air friction. a.What is the straight-line distance form where the prjectile was launched to where it hits its target?...

### Physics

I have to design a procedure which will allow me to calculate the applied force(thrust) of a stomp rocket. We are allowed to use tools to find measurements. So far, I have calculated the height that the rocket reached (22.5) m using trig. (right angle triangle where one angle ...

### calculus

A rocket rises vertically from a point on the ground that is 100m from an observer at ground level. The observer notes that the angle of elevation is increasing at a rate of 12∘per second when the angle of elevation is 60∘. Find the speed of the rocket at that ...

### Physics

A 1.4 kg ball is thrown upwards off the side of a building with a spped of 5.8 m/s and falls into an ocean 16 meters below. Once the ball hits the water it travels a depth of 1.4m then floats to the surface. Assuming the acceleration of the ball when it hits the water is ...

### Physics

A flowerpot falls from a window sill 37.6 m above the sidewalk.? A) What is the velocity of the flowerpot when it strikes the ground? The acceleration of gravity is 9.81 m/s2 ? B) How much time does a passerby on the side-walk below have to move out of the way before the ...

### pre-cal

aj uses a lingshot to launch a rock straight up from the a point of 6 ft. above ground level with an initial velocity of 170 ft per second. A) find an equation that models the height of the rock t seconds after it is launched. b) what is the maximum height of the rock and when...

### College Physics

A 750 kg rocket accelerates straight upward from the ground at 60 m/s2. What is the force (thrust) provided by the engine?

### Physics

A rocker acceleratess up ar 5m/s/s for 10s and at which point the fuel is exhusted, and then the rocket continues upwards in free fall. a)How high does the rocket riseb)What total time does the rocket spend in the air? b) What total time does the rocket spend in the air? The ...

Hi, Can anyone offer any advice on solving the following, motion of two stage rocket is stated by it height y in metres above the ground since t seconds since launch. Flies vertically Ist stage burns for 5 seconds and cuts out. 2nd stage rocket is under gravity alone. modelled...

### Physics

A 11.3 weather rocket generates a thrust of 240 . The rocket, pointing upward, is clamped to thetop of a vertical spring. The bottom of the spring, whose springconstant is 570 , is anchored to the ground. Initially, before the engine is ignited, therocket sits at rest on top ...

### MATH

A projectile is launched vertically upward from the top of a 240-foot building. This translate to the model y = -16t^2 + 32t + 240 where y is the height in feet and t is the time in seconds after it was launched. When will he projectile hit the ground? would i divide both ...

### math

A projectile is launched vertically upward from the top of a 240-foot building. This translate to the model y = -16t^2 + 32t + 240 where y is the height in feet and t is the time in seconds after it was launched. When will he projectile hit the ground? would i divide both ...

### physics

A rocket is launched straight up from the earth's surface at a speed of 1.80×104 m/s^2. a)What is its speed when it is very far away from the earth?

### Math

a wrench is dropped by a worker at a construction site. four seconds later the worker hears it hit the ground below. How high is the worker above the ground? (The velocity of sound is 1100 ft/s, and the distance the wrench falls as a function of time is s=6t^2

### physics

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects 1/160 of its mass as exhaust gas and has an acceleration of 15.1 m/s^2.What is the speed v_gas of the exhaust gas relative to the rocket?

### Physics

A pellet (20g) is launched horizontally off a cliff (20m high) from a spring-loaded gun. The spring has constant k= 1800 N/m and is compressed 0.10m before launch. How much energy is stored in the spring before launch? If all that energy is transferred to the pellet, how fast ...

### calculus

A rocker arises from its launching pad with a velocity given. By 0.1 h m/s ,where h m is the height reached by the rocket at that time.the rocket is obserrvved from 2000 m away from the launch pad.at. What rate is the distance of the roocket from observer channging when the ...

### Math

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The height of the airplane above ground after t seconds is given by the equation h=-16t^+56t+1, where h is the height of the airplane in feet and t is the...

### physical science

A rocket blasts off. In 10.0 seconds it is at 10,000 ft, traveling at 3600 mph. Assuming the direction is up, calculate the acceleration. 5280 ft/sec2 528 ft/sec2 100 ft/sec2 100. ft/sec2

### physics

A rocket cruising past earth at 0.800c shoots a bullet out the back door,opposite the rocket's motion,at 0.900c relative to the rocket. What is the bullet's speed relative to the earth?

### Physics

A projectile is launched with an initial speed of 80.0m/s at an angle of 40 degrees above the horizontal. The projectile lands on a hillside 3.80s later. Neglect air friction. What is the projectile's velocity at the highest point of its trajectory? What is the straight-line ...

### Physics

A projectile is fired with an initial speed of 28.0 m/s at an angle of 65 degrees above the horizontal. The object hits the ground 9.5 seconds later. a) How much higher or lower is the launch point relative to the point where the projectile hits the ground? b) To what maximum ...

### PHYSICS

A FIREWORKS ROCKET IS MOVING WITH A SPEED OF 45.0 M/S. THE ROCKET SUDDENLY BREAKS INTO TWO PIECES OF EQUAL MASS, WHICH FLY OFF WITH VELOCITIES V1 AND V2. WHAT IS THE MAGNITUDE OF V1? (THE ANGLE OF V1 WITH RESPECT TO THE ORIGINAL V DIRECTION IS 30 DEGREES WHILE THE ANGLE OF V2 ...

### Chemistry

a.) Assume that you had 100 nuts (N) and 75 bolts (B). How many NB molecules could you make by screwing one nut onto each bolt? b.) How many N2B molecules could you make by screwing two nuts onto each bolt?

### Help! Urgent!

You know tangentTheta=h/4 take the derivative sec^2 Theta * dTheta/dt= 1/4 dh/dt you know dtheta/dt solving for dh/dt You know sec Theta from the right triangle: sec theta = sqrt(h^2 +16) /h check me. Georgina: in the future, please put the title in the subject box, in this ...

### physics

A rocket burns 5kg per ejecting it as a gas with a velocity of 1600m/s relative to the rocket. How much force is exerted on the rocket. Also find the velocity exerted when its mass reduces to 1/200 of its initial mass.

### Physics-Update

An asteroid heads for Earth at 12 km/s. In addition, a NASA space team is able to attach a rocket booster to the asteroid. The rocket booster fires for 10 min after which the asteroid is moving at 28 degrees to its original path to a speed of 20km/s. What is its average ...