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1) An object undergoes uniformly accelerated motion from point x1 = 6 m at time t1...

1) An object undergoes uniformly accelerated motion from point x1 = 6 m at time t1 = 3 s to point x2 = 47 m at time t2 = 7 s. (The direction of motion of the object does not change.)

(a) If the magnitude of the instantaneous velocity at t1 is v1 = 2 m/s, what is the instantaneous velocity v2 at time t2?


(b) Determine the magnitude of the instantaneous acceleration of the object at time t2.

2) Use the exact values you enter to make later calculations.

Jack and Jill are on two different floors of their high rise office building and looking out of their respective windows. Jack sees a flower pot go past his window ledge and Jill sees the same pot go past her window ledge a little while later. The time between the two observed events was 4.6 s. Assume air resistance is negligible.

(a) If the speed of the pot as it passes Jill's window is 54.0 m/s, what was its speed when Jack saw it go by?


(b) What is the height between the two window ledges?

3) Suppose you are an astronaut and you have been stationed on a distant planet. You would like to find the acceleration due to the gravitational force on this planet so you devise an experiment. You throw a rock up in the air with an initial velocity of 12 m/s and use a stopwatch to record the time it takes to hit the ground. If it takes 6.8 s for the rock to return to the same location from which it was released, what is the acceleration due to gravity on the planet?

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