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answer #13 in detail please A speeding motorist traveling at constant velocity o

ID: 583783 • Letter: A

Question

answer #13 in detail please

A speeding motorist traveling at constant velocity of 34.0 m/s passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 4.0 m/s^2. How fast will the police officer be traveling when he caches the speeder? 34.0 m/s 45.0 m/s 28.0 m/s 56.0 m/s 68.0 m/s A man is driving along a main highway at a speed of 20 m/s when the traffic light which is 40 m ahead turns yellow. Because of his ''reaction time", there is a delay of 0.2 s before the man steps on the brake. The car then slows with a deceleration of 5 m/s^2. Where does the car stop? 4 m past the light 20 m after the light 5 m before the light Just at the light 20 m before the light A 1.0 kg ball is connected by means of two ideal strings to a horizontal, rotating rod. The strings are tied to the rod and are taut. The left string is 30.0 cm long and has a tension of 35.0 N, and it makes an angle theta_1 = 60.0 degree with the rod, while the right string makes an angle theta_2 = 50.0 degree angle with the rod. At the instant shown, the ball is at its lowest point. What is the speed of the ball? 3.91 m/s 3.28 m/s 3.64 m/s 2.40 m/s 4.28 m/s

Explanation / Answer

Correct option is (e)

speed of motorist u = 34 m/s

distance covered by motorist in t seconds is s = ut = 34t

police office covere same distance in t time with acceleration 4 m/s^2 and intial velocity is zero.

from kinematic equation

s=ut+at^2/2

34t =0 +(1/2)(4)t^2

t = 17 s

from kinematic equatio

v =u +At

v =0+4*17

v =68 m/s