Question #87831
A car is initially travelling at 5.0ms-1. It then speeds up, accelerating at 1.2 ms-2 for 4.0 seconds. What is the cars final velocity?
1
Expert's answer
2019-04-11T09:34:13-0400

We can find the car's final velocity from the kinematic equation:


vf=vi+at,v_f = v_i + at,

here, vi=5.0ms1v_i = 5.0 ms^{-1} is the initial velocity of the car, vfv_f is the final velocity of the car, a=1.2ms2a = 1.2 ms^{-2} is the acceleration of the car and t=4.0st = 4.0 s is the time during which the car accelerates.

Then, we get:


vf=vi+at=5.0ms+1.2ms24.0s=9.8ms.v_f = v_i + at = 5.0 \dfrac{m}{s} + 1.2 \dfrac{m}{s^2} \cdot 4.0 s = 9.8 \dfrac{m}{s}.

Answer:

vf=9.8ms.v_f = 9.8 \dfrac{m}{s}.


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