Question

A toy race car zooms across the ground with an acceleration of 1.8m/s². After 3 seconds it has a final velocity of 12.2 m/s, what is the toy car's initial velocity?

a=(Vf-Vi)/t

A. 22.8 m/s
B. 6.8 m/s
C. 9.8 m/s
D. 1 8 m/s

Answer 1

The initial velocity of the toy race car with an acceleration of 1.8 m/s² and final velocity of 12.2 m/s after 3 seconds is 6.8 m/s.

Step-by-step explanation:

The student asked about determining the initial velocity of a toy race car that has a given acceleration and final velocity after a certain time. To find the initial velocity, we use the kinematic equation: Vi = Vf - a*t, where Vi is the initial velocity, Vf is the final velocity, a is the acceleration, and t is the time.

Given that the final velocity (Vf) is 12.2 m/s, the acceleration (a) is 1.8 m/s², and the time (t) is 3 seconds, we can calculate the initial velocity (Vi) as follows:

Vi = Vf - a*t
Vi = 12.2 m/s - (1.8 m/s² * 3 s)
Vi = 12.2 m/s - 5.4 m/s
Vi = 6.8 m/s

Therefore, the initial velocity of the toy car is 6.8 m/s, which corresponds to option B.