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. A driver notices an upcoming speed limit change from 45 mi/h (20 m/s) to 25 mi/h (11 m/s). If she estimates the speed limit will change in 50 m. a) Sketch the scenario listing given information. b) Use the time independent kinematic equation v(final)^2 = v(initial)^2 + 2 a s to determine the acceleration needed to reach the new speed limit before it begins? c) Is your result for acceleration a positive or negative value and does it represent speeding up or slowing down? *
15 points

Answer :

The acceleration is -2.79 ms-2 hence the vehicle is slowing down.

What is kinematics?

Kinematics refer to the study of motion without recourse to the cause of motion which is force. Here we depend entirely on the equations of motion.

Given;

v = 11 m/s

u = 20 m/s

a = ?

s = 50 m

Hence;

v^2 = u^2 + 2as

a = v^2 - u^2/2s

a = (11)^2 - (20)^2/2 × 50

a = 121 - 400/100

a = -2.79 ms-2

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