A vehicle designed to operate on a drag strip accelerates from zero to 30 m/s while undergoing a straight line path displacement of 45 m.What is the vehicle's acceleration if its value may be assumed to be constant? A)2.0 m/s² B)5.0 m/s² C)10 m/s² D)15 m/s²

Question

Quizplus · Accepted Answer

Using the kinematic equation:

v^2 = u^2 + 2as

Where: 
v = final velocity = 30 m/s 
u = initial velocity = 0 
a = acceleration (we want to find this) 
s = displacement = 45 m

Plugging in the values:

30^2 = 0^2 + 2a(45)

900 = 90a

a = 10 m/s^2

Therefore, the vehicle's acceleration is 10 m/s^2, which is choice C.

A Vehicle Designed to Operate on a Drag Strip Accelerates