Question

A car initially traveling at 43 m/s accelerates to 53 m/s. When speeding up, the car takes 5.3 s during the acceleration. Calculate the acceleration.

a) 10 m/s²
b) -10 m/s²
c) 53 m/s²
d) -53 m/s²
e) 1.89 m/s²
f) -1.89 m/s²

Answer 1

The car's acceleration is calculated using the formula a = Δv / t, and the correct answer is (e) 1.89 m/s², which is a positive acceleration as the car is increasing its velocity.

Step-by-step explanation:

To calculate the acceleration of the car, we use the formula: a = Δv / t where Δv is the change in velocity and t is the time taken for this change. Here, the car's initial velocity (vi) is 43 m/s, and the final velocity (vf) is 53 m/s. Therefore, Δv = vf - vi = 53 m/s - 43 m/s = 10 m/s. Given the time t is 5.3 s, we can find the acceleration as follows:

a = Δv / t

= 10 m/s / 5.3 s

= approx 1.89 m/s²

So the correct answer is (e) 1.89 m/s². The car experiences a positive acceleration as it is speeding up.