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Calculus - average velocity

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TO BOBPURSLEY
def of average velocity = t^-1 (x - x0) (average velocity = t^-1(x-x0))t=(avearge velocity)t + x0= x - x0 + x0 = x = (average velocity)t + x0 x = (average velocity)t + x0 def of average velocity were costant acceleration is assumed = 2^-1(v0 + v) plug into x = (average ...

Physics
def of average velocity = t^-1 (x - x0) (average velocity = t^-1(x-x0))t=(avearge velocity)t + x0= x - x0 + x0 = x = (average velocity)t + x0 x = (average velocity)t + x0 def of average velocity were costant acceleration is assumed = 2^-1(v0 + v) plug into x = (average ...

Calculus
The displacement (in meters) of a particle moving in a straight line is given by s=2t^3 where is measured in seconds. Find the average velocity of the particle over the time interval [10,13]. the average velocity is 798 What is the instantaneous velocity of the particle when t...

CALCULUS
The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 3sin(ðt) + 5cos(ðt), where t is measured in seconds. (Round all answers to the nearest hundredth.) (a) Find the average velocity during the time...

Calculus
The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.6 10.4 17.8 25.2 (a) Find the average velocity for the time period [1, 3]. ? m/s (b) Find the average velocity for the time period [2, 3]. ? m/s (c) Find the average velocity for the time ...

Calculus
If a ball is thrown in the air with a velocity 44 ft/s, its height in feet t seconds later is given by y = 44t - 16t2. (Round your answers to one decimal place.) (a) Find the average velocity for the time period beginning when t = 2 and lasting 0.5 second. ft/s (b) Find the ...

calculus
The position of a particle moving in a straight line during a 2-second trip is given below. s(t) = 2t 2 - 6t + 7 cm (a) What is the average velocity for the entire trip? (Assume the 2 second interval starts at t = 0.) 1 cm/second (b) Find a time at which the instantaneous ...

Science Help Not sure
Within the Gaetz Lake Sanctuary in Red Deer, Alberta, is a looped trail that is 4 km long. Suppose a person walked all the way around the looped trail in 1 h, ending where he or she started. Which statement best describes this person’s motion over this time interval? A.The ...

Math
The height (in feet) of a small weight oscillating at the end of a spring is h(t) = 0.5 cos(2t) where t is in seconds, 0 ≤ t ≤ 5. (This is calculus. Use radians!) (a)Calculate the weight’s average velocity over the time interval 1 ≤ t ≤ 3. Show ...

AP Physics
I'm trying to derive the formula v^2 = v0^2 + 2a(x-x0) were zeros are subscripts my book tells me to derive it this way use the definition of average velocity to derive a formula for x use the formula for average velocity when constant acceleration is assumed to derive a ...

Physics
Could someone please review my answers and tell me if I am on the right track? Thank you! A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 18.0 min. (a) What was her average speed? (b) If the ...

Physics
A boy is cycling at a constant speed along a straight road to his school. The postions of the boy after fixed time intervals are observed. a. What type of position-time graph can be expected for the motion of the bicycle? b. How can the average velocity of the bicycle be ...

Calculus - average velocity
*VELOCITY OF A CAR* Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function s = f(t) = 2t^2 + 48t. a. Calculate the average velocity of the car over the time intervals [20,21], [20, 20, 20.1], and [20, 20.01]. b. ...

calculus
If I figured out average velocity can I use that to figure instantaneous velocity? There is no function. Thanks

physics..help PLZ!!
An object undergoes a displacement while being acted on by a constant force directed to the north. The work done on this object by the force is positive during the displacement. Which statement is necessarily true about the average velocity of the object during the ...

Calculus
f(t)=-4.9t^2+25t+3 meters what is the average velocity during the first two seconds? find the instantaneous velocity at t=2

physics
rewriting this, since it was typed wrong. In reaching her destination, a backpacker walks with an average velocity of 1.34 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west, turns around, and hikes with an...

physics
In this problem you will determine the average velocity of a moving object from the graph of its position as a function of time . A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity ...

physics
A jogger runs in a straight line with an average velocity of v1=6.6 m/s for t1=6.0 min, and then with an average velocity of v2=5 m/s for t2=3.0 min. What is her average velocity during this time? Answer in units of m/s.

Physics
n reaching her destination, a backpacker walks with an average velocity of 1.19 m/s, due west. This average velocity results, because she hikes for 5.07 km with an average velocity of 2.22 m/s due west, turns around, and hikes with an average velocity of 0.749 m/s due east. ...

physics
In reaching her destination, a backpacker walks with an average velocity of 1.20 m/s, due west. This average velocity results, because she hikes for 5.94 km with an average velocity of 3.28 m/s due west, turns around, and hikes with an average velocity of 0.778 m/s due east. ...

Physics
In reaching her destination, a backpacker walks with an average velocity of 1.30 m/s, due west. This average velocity results, because she hikes for 6.22 km with an average velocity of 3.44 m/s due west, turns around, and hikes with an average velocity of 0.321 m/s due east. ...

physics
In reaching her destination, a backpacker walks with an average velocity of 1.22 m/s, due west. This average velocity results, because she hikes for 5.61 km with an average velocity of 2.69 m/s due west, turns around, and hikes with an average velocity of 0.367 m/s due east. ...

calculus
When a ball is thrown vertically upward into the air with a velocity of 79 ft/sec its height, y(t), in feet after t seconds is given by y(t) = 79t − 16t 2 . Find the average velocity of the ball over the interval from 3 to 3 + h seconds, h 6=/= 0. 1. average vel. = &#...

Physics PLEASE
I'm trying to derive the formula v^2 = v0^2 + 2a(x-x0) were zeros are subscripts my book tells me to derive it this way use the definition of average velocity to derive a formula for x use the formula for average velocity when constant acceleration is assumed to derive a ...

Calculus
A particle moves along the x-axis with velocity v(t) = -(t-3)² + 5 for [0,6]. a) Find the average velocity of this particle during the interval [0,6]. b) Find a time t* ∈ [0,6] such that the velocity at time t* is equal to the average velocity during the interval [0,6...

physics
In reaching her destination, a backpacker walks with an average velocity of 1.26 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.60 m/s, due west, turns around, and hikes with an average velocity of 0.470 m/s, due east. ...

Physics
A bus travels 280 km south along a straight path with an average velocity of 88 km/hr to the south. The bus stops for 24 min, then it travels 210 km south with an average of 75 km/hr to the south. A. How long does the total trip last? B. What is the average velocity for the ...

Physics
In reahcing her destination, a backpacker walks with an average velocity of 1.29 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.59 m/s, due west, turns around, and hikes with an average velocity of 0.44 m/s, due east. ...

Calculus
The height of a particle is given by the equation f(t)=t^2+2t+6 (a) What is the average velocity of the particle on the interval [2,3]?b.What is its instantaneous velocity at t = 2. What is the instantaneous velocity of the object at any time t?

Physics
Velocity/instantaneous velocity question? In a demonstration a ball falls directly to the ground. Which of the following statements about this event is not correct? (Assume downward is the positive direction.) a)The average velocity during the first half of the fall is greater...

Calculus
Compute the average velocity over time intervals [4, 4.01] , [4, 4.001] , [4, 4.0001] , [3.9999, 4] , [3.999, 4] , [3.99, 4] . Use this to estimate the object's instantaneous velocity at t=4 V(4) = ???? ft/ec How do i even approach this problem?

6th grade
Assume that the average speed of a moving object at 1 m was initial velocity and average spped of your cvart 5 m was its final velocity. calculate the change in velocity of your cart from 1 m to 5m. Show your work

Calculus
If a rock is thrown upward on the planet Mars with a velocity of 7 m/s, its height in meters t seconds later is given by y = 7t − 1.86t2. (Round your answers to two decimal places.) (a) Find the average velocity over the given time intervals. (i) [1, 2] (ii) [1, 1.5] (...

Calculus
A car drives down a road in such a way that its velocity ( in m/s) at time t (seconds) is v(t)=3(t^(1/2))+4. Find the car's average velocity (in m/s) between t=4 and t=6.

Calculus
A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t)=3(t^(1/2))+4. Find the car's average velocity (in m/s) between t=4 and t=6.

Calculus 2b
A car drives down a road in such a way that its velocity ( in m/s) at time t (seconds) is v(t)=1t^(1/2)+1 . Find the car's average velocity (in m/s) between t=2 and t=6. ? I am lost!

HURRY........quick post
Simpson drives his car with an average velocity of 1.2 m/s to the north from the bust stop to the museum entrance. What is your displacement? Look back at the previous question. How much time would Simpson save by increasing his average velocity to 56.0 km/h to the east? A bus...

Calculus
Suppose that an object moves along an s-axis so that its location is given by s(t)=t^2+4t at time t.(Here is in meters and is in seconds.) (a) Find the average velocity of the object in meters per second over the time interval t=2 to t=9 seconds. Average velocity = ? m/s. (b) ...

Calculus
The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 5/t2, where t is measured in seconds. Find the velocity of the particle at times t = a, t = 1, t = 2, and t = 3. (a) Find the average velocity during each time period. (...

physics
a plane flys 350 km south along a straight path with an average velocity of 125 km/h to the south. the plane has a 30 minute layover and then travels 220 km south with an average velocity of 115 km/h to the south. what is the average velocity of the trip

calculus
is average rate of change and average value the same or will you get a different answer for each this is calculus so it's the mean average. it's using the formula and integrating. I don't understand your question, but I can assure you that average rate of change and average ...

physics
A car travels in a straight line with an average velocity of 85 km/h for 2.5 h and then with an average velocity of 30 km/h for 1.5 h. (a) What is the total displacement for the 4 h trip? _____________________ km (b) What is the average velocity for the total trip? ...

Calculus
A marble is dropped from the top of the empire state building. a. Determine the position and velocity functions for the marble b. What is the average velocity for the first 3 seconds of flight? c. Whatisthespeedofthemarblewhent=0? t=3? t=6? d. How long does a person looking up...

physics
The acceleration of a certain rocket is given by a(t)=bt where b is positive constant compute the the average velocity of the rocket between t=4.5s and 5.5s at t=5.0s if x(t)=0 and b=3.0m/s^3, compare this average velocity and instaneous velocity at t=5.0s

Physics
A car makes a trip due north for three fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of 27m/s, and the average southward velocity has a magnitude of 17m/s. What is the average velocity, magnitude and direction of the ...

calculus
If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, it height in feet after t second is given by y = 70 t - 16 t^2. Find the average velocity for the time period begining when t = 1 and lasting (i) 0.1 seconds (ii) 0.01 seconds (iii) 0.001 seconds...

Calculus
A particle moves at varying velocity along a line and s=f(t) represents the particle's distance from a point as a function of time, t. Sketch a possible graph for f if the average velocity of the particle between t=2 and t=6 is the same as the instantaneous velocity at t=5. I'...

Calculus
Recall that the average velocity between times t1and t2 is calculated using vave = y(t2) − y(t1)/t2 − t1. We are given that y = 14t − 1.86t^2. Evaluating at t = 1, we have y(1) = 14(1) − 1.86(1)2 = 12.14. Thus, the average velocity between times 1 and 1...

Calculus
If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet t seconds later is given by y = 40t − 16t^2. Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. 1) 0.5 seconds.

Urgent!!! Physics
A meteor streaking through the night sky is located with radar. At point A its coordinates are (5.60 km, 1.25 km), and 1.12 s later its has moved to point B with coordinates (6.16 km, 0.900 km). A. Find the x component of its average velocity between A and B. (in Km/s) B. Find...

DISPLACEMENT and VELOCITY
A turtle moves 3.5m [E] in 136 s and then moves 1.7m [W] in 88 s. a) What is the average speed of the turtle? b) What is the average velocity of the turtle? average speed: D/T = 3.5m + 1.7m = 5.2m/ 224s = 0.024m/s average velocity:?????????? Have I calculated speed correctly?

Calculus
Consider a car whose position, s, is given by the table (s) 0 0.2 0.4 0.6 0.8 1 (ft) 0 0.3 1.4 3.8 6.5 9.6 Find the average velocity over the interval 0<=t<=0.2 (include units) Estimate the velocity at t=0.2. (include units)

phisecs
In a period of 3 h, a man walks 13 km north, turns around and walks 5 km south. Find his average velocity in km/h? Please pay attention to sign. (-) means the average velocity is to the south, (+) means the average velocity is to the North.

phisecs
In a period of 3 h, a man walks 13 km north, turns around and walks 5 km south. Find his average velocity in km/h? Please pay attention to sign. (-) means the average velocity is to the south, (+) means the average velocity is to the North.

physics
A cyclist is cycling at a uniform velocity of 8m/s for 8 seconds. He then stops paddling and the cycle comes to rest in next ten seconds. Draw the velocity-time graph and calculate: (i) the average retardation.(ii) the distance covered with uniform velocity.(iii) the distance ...

Physics
What quantitative information do you need to calculate each of the measurements of an object's motion Displacement: Average velocity: Average acceleration: Displacement: Final position minus initial position Average velocity: Displacement divided by time interval Average ...

calculus
compute the average velocity of a stone over time intervals 1, 1.01 1, 1.001 1, 1.0001 and .99,1 .999,1 .9999,1. use this to estimate instantaneous velocity at t=1 All i can figure out the formula should be s(t1)-s(t0) over t1-t0 how does that give you a number what am i missing

PHYSICS
a)speed is the magnitude of instantaneous velocity. Is the average speed equal to the magnitude of the average velocity? Justify b)under what condition is the average equal to instantaneous velocity? c)a car travels 40 mph for 2 hrs and 60 mph for 3hrs.what is the average speed?

Physics
A runner runs 2.9 km in 9 min and then takes 30 min to walk back to the starting point. (a) What is the runner's average velocity for the first 9 min? _______ km/h (b) What is the average velocity for the time spent walking? _______ km/h (c) What is the average velocity for ...

Calculas
If a ball is thrown in the air with a velocity 44 ft/s, its height in feet t seconds later is given by y = 44t - 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting 0.5 second. ft/s (b) Find the average velocity for the time period ...

Calculus
A ball is thrown vertically upward with an initial velocity of 135 feet per second, the ball’s height after t second is s(t) = 135t – 22t How to calculate average velocity from 1 to 3 seconds?

physics
i REALLY don't get this problem. PLEASE HELP!!! the position of a runner during a 3 second time interval the runners position changes from x1 = 50m to x2 = 30.5m what was the runners average velocity? find the average speed as well as the average velocity.

physics
Question part Points Submissions 1 0/1 5/15 Total 0/1 You ride your bike for 1.5 h at an average velocity of 11 km/h, then for 30 min at 15 km/h. What is your average velocity?

Physics
A car travels in a straight line with an average velocity of 80 km/hr for 2.5 hours and then with an average velocity of 40 km/hr for 1.5 hours. a. Calculate the largest displacement for the 4-hour trip. b. Calculate the largest average velocity for the total trip in ...

calculus
If a rock is thrown upward on the planet Mars with a velocity of 13 m/s, its height in meters t seconds later is given by y = 13t − 1.86t2. (Round your answers to two decimal places.) (a) Find the average velocity over the given time intervals.

Physics
A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of 25 m/s, and the average southward velocity has a magnitude of 32 m/s. Taking northward to be the positive direction, what is the ...

Physics
An athlete swims from the North end to the South end of a 50.0 Meter pool in 20.0 seconds, and makes the return trip to the starting point in 20.0s A. What is the average velocity for the first half of the swim B.What is the average velocity for the seconds half of the swim C...

Physica
which of the following is correct a)the average speed of an object is the elapsed time divided by the distance traveled b)the average velocity of an object is the ratio of the distance traveled by the elapsed time. c)the instantaneous velocity is the limit of the average ...

Physica
which of the following is correct a)the average speed of an object is the elapsed time divided by the distance traveled b)the average velocity of an object is the ratio of the distance traveled by the elapsed time. c)the instantaneous velocity is the limit of the average ...

Physics
A jogger runs eastward in a straight line with an average speed of 2.25 m/s for 4.98 min and then continues with an average speed of 1.58 m/s for 2.18 min. (Hint: time is in minutes and velocity is in meters/second) (a) What is her total displacement (in m)? _____________m (b...

Calculus
If a ball is thrown straight up into the air with an initial velocity of 95 ft/s, its height in feet after t seconds is given by f(t)=95t−16t^2 Find the average velocity for the time period beginning when t=1 and lasting (i) 0.5 seconds (ii) 0.1 seconds (iii) 0.01 ...

Displacement and Velocity
A turtle moves 3.5m [E] in 136 s and then moves 1.7m [W] in 88 s. a) What is the average speed of the turtle? b) What is the average velocity of the turtle? average speed: D/T = 3.5m + 1.7m = 5.2m/ 224s = 0.024m/s average velocity:??????????/

Physics
A runner covers one lap of a circular track 40.0 m in diameter in 62.5s (a) for that lap what were her average speed and average velocity? (b) if she covered the first half lap in 28.7 s, what were her average speed and average velocity for that half lap?

physics
Starting from home, you bicycle 22km north in 2.3h and then turn around and pedal straight home in 1.3h . What are your (a) displacement at the end of the first 2.3h , (b) average velocity over the first 2.3h , (c) average velocity for the homeward leg of the trip, (d) ...

Physics
An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.00 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.40 s. A. ...

physics
a boy is running on a straight road.He run towards north in 2 minutes and 10 seconds and then turn back and runs 200m in one minute.Calculate his average speed and magnitude of average velocity during first 2 minutes and 10 seconds and his average speed and magnitude of ...

physical science
A smoke particle undergoing Brownian motion in air has a mass of 2.00 x 10 -5 kg. a) what is the its average velocity if the temperature is 300 K? b) what is its average kinetic energy? The average kinetic energy of a particle or molecule of any mass is Eav = (3/2) k T where k...

physics
quick answer of a boy is running on a straight road.He run towards north in 2 minutes and 10 seconds and then turn back and runs 200m in one minute.Calculate his average speed and magnitude of average velocity during first 2 minutes and 10 seconds and his average speed and ...

Calculus III
A particle is moving in R2 according to the law x=t^2, y=t^3 (time is measured in seconds, coordinates in meters). (a) What is the average velocity of the particle over the time interval [1,1.1]? (b) What is the instantaneous velocity of the particle at time t=1?

Calculus
At time t >or= to 0, the position of a particle moving along the x-axis is given by x(t)= (t^3/3)+2t+2. For what value of t in the interval [0,3] will the instantaneous velocity of the particle equal the average velocity of the particle from time t=0 to time t=3?

Physics
A bus travels 290 km south along a straight path with an average velocity of 81 km/h to the south. The bus stops for 25 min, then it travels 210 km south with an average velocity of 80 km/h to the south. How Long does it lasts ? Answer in units of h . What is the average ...

Physics
A motorcyclist who is moving along an x-axis has an acceleration given by a=(6.60-2.29t) for 0 >= t <= 6.0 s, where a is in m/s2 and t is in seconds. At t = 0, the velocity and position of the cyclist are 3.20 m/s and 7.30 m. For the time interval from 0 >= t <= 6....

physics
An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.60 s. a)...

physics
An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.60 s. a)...

physics
An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.20 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.60 s. a)...

Physics
An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.00 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another 10.0 cm in 1.40 s. A. ...

Calculus the derivative
Can you please check my answers and help me fix the one I don't or or did wron . The height in feet of a free falling object t seconds after release is s(t)=-16t^2+ v_0t+s_0, where s_0 is the height(in feet) at which the object is realsed, and v_0 is the initial velocity (in ...

physics
You ride your bike for 1.9 h at an average velocity of 10 km/h, then for 30 min at 11 km/h. What is your average velocity?

calculus
A particle moves on a line so that its position at time t seconds is p(t)=3t3 meters to the right of the origin. Find the time c in the interval (4,8) for which the velocity of the particle at time c is equal to the average velocity on the interval [4,8].

science
A race car travels northward on a straight, level track at a constant speed, traveling 0.777 km in 16.6 sec. The return trip over the same track is made in 21.7 sec. What is the average velocity of the car for the FIRST leg of the trip? What is the average velocity of the car ...

Calculus Pre Test Monday Part 3
The height, in metres, of an object that has fallen from a height of 180 m is given by the position function s(t)=-􏰀5t^2 􏰂+180, where t 􏰃>0 and t is in seconds. a. Find the average velocity during each of the first two seconds. b. Find the ...

PHYSICS
A BUS TRAVELS 280 KM SOUTH ALONG A STRAIGHT PATH WITH AN AVERAGE VELOCITY OF 88 KM/H TO THE SOUTH. THE BUS STOPS FOR 24MIN, THEN IT TRAVELS 210 KM SOUTH WITH AN AVERAGE VELOCITY OF 75 KM/H TO THE SOUTH. A. HOW LONG DOES THE TOTAL TRIP LAST? B.WHAT IS THE AVERAGE VELOCITY FOR ...

Physics
A bus travels 280 km south along a straight path with an average velocity of 88 km/h to the south. The bus stops for 24 min. Then it travels 210 km south with an average velocity of 75 km/h to the south. how long does the total trip last? what is the average velocity for the ...

Chemistry
At a certain temperature and pressure, chlorine molecules have an average velocity of 0.0410 m/s. What is the average velocity of sulfur dioxide molecules under the same conditions?

physics
A jogger runs in a straight line with an average velocity of v1=10.2 m/s for t1=6.0 min, and then with an average velocity of v2=7.7 m/s for t2=3.0 min. What is her total displacement? Answer in units of m.

AP Physics
A jogger runs in a straight line with an average velocity of 7.7 m/s for 4.5 minutes, and then with an average velocity of 2.8 m/s for 2.8 minutes. What is her total displacement? Answer in units of m.

Physics
A jogger runs in a straight line with an average velocity of 5.4 m/s for 2.3 min, and then with an average velocity of 5.7 m/s for 1.2 min. What is her total displacement? Answer in units of m.

Physcis.
I don't rember exactly the question. its about average velocity. A person travel 400 meter, he complete 4 ROUNDS at 60 sec,57SEC,55SEC AND 53 sec.what if average velocity?

Grade 11th Physics
This question is based upon differential calculus. Velocity of the particle is given by the equation: v = (2t^2+5)cm/s. Find:- (i) The change in velocity of the particle during the time interval t1 = 2s and t2 = 4s. (ii) Average acceleration during the same interval. (iii) ...

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