Question

A vehicle accelerates at a constant rate of 10 meters/second for 12 seconds. During this time, the vehicle covers a distance of __________ meters.

Options:
a. 60
b. 80
c. 100
d. 120

Answer 1

The vehicle covers a distance of 864 meters.

Step-by-step explanation:

The distance covered by a vehicle that accelerates at a constant rate can be calculated using the formula:

distance = initial velocity * time + (1/2) * acceleration * time^2

In this case, the initial velocity is 0 m/s because the vehicle starts from rest, the time is 12 s, and the acceleration is 10 m/s^2. Plugging in these values:

distance = 0 * 12 + (1/2) * 10 * (12)^2

distance = 0 + 6 * 144 = 864 meters

Therefore, the vehicle covers a distance of 864 meters during this time.