A car traveling along a road begins accelerating with a constant acceleration of 1.5 m/s²in the direction of motion. After traveling 392 m at this acceleration, its speed is 35 m/s. Determine the speed of the car when it began accelerating. A)1.5 m/s B)7.0 m/s C)34 m/s D)49 m/s E)2.3 m/s

Question

Quizplus · Accepted Answer

We can use the kinematic equation:

v^2 = u^2 + 2as

where v = final velocity = 35 m/s, a = acceleration = 1.5 m/s^2, s = distance traveled = 392 m

Plugging in these values, we get:

35^2 = u^2 + 2(1.5)(392)

Solving for u, we get:

u = 7 m/s

Therefore, the speed of the car when it began accelerating was 7 m/s. So, the correct answer is B).

A Car Traveling Along a Road Begins Accelerating with a Constant