2 - Constant Acceleration Motion ics student starts walking on a straight sectio

Question

2 - Constant Acceleration Motion ics student starts walking on a straight section of the street with a constant acceleration of 1 - A phys 20m/s At time t-0 he is 10.0m from his starting point moving with a speed of 0.50 m's. a) Find his position and speed at t-5s b) What is his position with respect to the initial point when his velocity is 1 mis? 2- A car moving in straight line has a constant speed of 15.0 m/s when it passes an immobile police car The police officer starts chasing the car as soon as the car passes in front of him. The police car has a constant acceleration of 3.0 m/s a) How much time elapses before the officer catches up with the car? b) What is the police car's speed at that point? c) What is the total distance each vehicle has traveled at that point? frec-all sitation. 3 - A tennis ball is dropped Compute its position and velocity after 1s, 2s, 3s. from the top of a building. It starts from rest and is in free-fall situation.

Explanation / Answer

1)Given,

a = 2 m/s^2 ; t = 0 ; x = 10 m

a)We know that

S = ut + 1/2 at^2

S' = 0 + 0.5 x 2 x 5^2 = 25 m

S = 10 + 25 = 35 m

Hence, S = 35 m (with respect to starting position)

v = u + at

v = 2 x 5 = 10 m/s

Hence, v = 10 m/s

b)We know that

v^2 = u^2 + 2 a s

s = (v^2 - u^1)/2a

s = 1^2/2 x 2 = 0.25 m

S = 10 + 0.25 = 10.25 m

Hence, S = 10.25 m

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