A car drives down the highway at a constant speed. The speed limit increases and the car accelerates to 35 m/s in 4.5 seconds over a displacement of 100 m. What is the cars acceleration.

Answer 1

v = vo + at
s = vo*t + 1/2 at^2

vo + a*4.5 = 35
vo*4.5 + 1/2 a*4.5^2 = 100
so,
(35-4.5a)(4.5) + 1/2 a * 4.5^2 = 100
a = 5.68 m/s^2