Question

While racing out of the school parking lot, you timed yourself for 7 seconds after starting from rest and found your velocity was 40 m/s. What was your acceleration during this time?

a) 5.7 m/s²
b) 28.6 m/s²
c) 2.86 m/s²
d) 0.57 m/s²

Answer 1

The correct acceleration of the student's vehicle over the 7 seconds is 5.7 m/s², calculated using the formula a = Δv / Δt where initial velocity is zero and final velocity is 40 m/s.

The student's acceleration during the race out of the school parking lot can be calculated using the formula for acceleration a = Δv / Δt, where Δv is the change in velocity and Δt is the change in time. Given that the initial velocity (u) is 0 m/s, the final velocity (v) is 40 m/s, and the time (t) taken to reach this velocity is 7 seconds, the acceleration (a) can be found as follows:

a = Δv / Δt = (v - u) / t = (40 m/s - 0 m/s) / 7 s = 40 m/s / 7 s = 5.7 m/s².

Therefore, the correct answer is (a) 5.7 m/s².