Question

A car accelerates from rest at a rate of 5 m s 2 5 s 2 m ​ 5, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. How many seconds will it take the car to travel 200 m 200m200, start text, m, end text? Your answer should have one significaA car accelerates from rest at a rate of

5

m
s
2
5
s
2

m
​
5, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction.
How many seconds will it take the car to travel
200

m
200m200,

Answer 1

To find the time it will take for the car to travel 200 m with an acceleration of 5 m/s², you can use the equation of motion: d = ut + 0.5at². Substituting the given values, the time will be approximately 8.94 seconds.

Step-by-step explanation:

To find the time it will take for the car to travel 200 m with an acceleration of 5 m/s², we can use the equation of motion:

d = ut + 0.5at²

where d is the displacement, u is the initial velocity (0 m/s since the car starts from rest), a is the acceleration (5 m/s²), and t is the time.

Substituting the given values, we have:

200 = 0 + 0.5(5)t²

Simplifying the equation, we get:

200 = 2.5t²

Dividing both sides by 2.5 to isolate t², we have:

t² = 200/2.5

t² = 80

Taking the square root of both sides, we find:

t = √80

t ≈ 8.94 seconds