Question

how far will a car travel from a standing start if it accelerates at 4 meter per second square for 9 seconds?

Answer 1

QUESTION:

how far will a car travel from a standing start if it accelerates at 4 meter per second square for 9 seconds?

SOLUTION:

The motion equation for the case of constant acceleration is

$$s = v _ {0} t + \frac {a t ^ {2}}{2}$$

Where

s is the distance, traveled by the car

$v_{0}$ is the initial speed of the car

a is the acceleration of the car

t is the time

Here

$v_{0} = 0\,m/s$ , because the car travels from a standing start

a=9 m/s²

t=9 seconds

Hence

$$s = \frac {9 \cdot 4 ^ {2}}{2} = 72\,m$$

ANSWER:

72 meters