Question

What acceleration is required for a rover to start from rest and reach a speed of 5 m/s in 3 seconds? How much distance is needed to achieve this speed?

a. 1.67m/s^2, 7.5m
b. 2m/s^2, 15m
c. 1m/s^2, 5m
d. 2.5m/s^2, 10m

Answer 1

The acceleration required for the rover to start from rest and reach a speed of 5 m/s in 3 seconds is 1.67 m/s². The distance needed to achieve this speed is 7.5 meters.

This correct answer is a.

Step-by-step explanation:

To find the acceleration required for the rover to start from rest and reach a speed of 5 m/s in 3 seconds, we can use the formula:

Acceleration = (Final Velocity - Initial Velocity) / Time

Plugging in the values, we get:

Acceleration = (5 m/s - 0 m/s) / 3 s = 1.67 m/s²

To find the distance needed to achieve this speed, we can use another formula:

Distance = (Initial Velocity * Time) + (1/2 * Acceleration * Time^2)

Plugging in the values, we get:

Distance = (0 m/s * 3 s) + (1/2 * 1.67 m/s² * (3 s)^2) = 7.5 m

This correct answer is a.