Question

A car is moving 15 m/s east when it begins acceleration towards the East of 3 m/s2.

a. How long will it take this car to reach a velocity of 30 m/s east?
A. 5 seconds
B. 10 seconds
C. 15 seconds
D. 20 seconds

Answer 1

It will take the car 5 seconds to reach a velocity of 30 m/s east when it is accelerating at 3 m/s², starting from an initial velocity of 15 m/s.

Step-by-step explanation:

The student is asking how long it will take for a car accelerating at 3 m/s2 to increase its velocity from 15 m/s to 30 m/s towards the East.

To find the time required, we can use the formula for acceleration:

acceleration (a) = ∆velocity (∆v) / time (t)

Rearranging the formula to solve for time, we get:

time (t) = ∆velocity (∆v) / acceleration (a)

Here, the change in velocity (∆v) = final velocity - initial velocity = 30 m/s - 15 m/s = 15 m/s.

Substitute the values into the formula:

time (t) = 15 m/s / 3 m/s2 = 5 seconds

The answer is therefore Option A: 5 seconds.