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17 votes
17 votes
A

car accelerates from rest at 4.5 m/s² for 3 seconds.
a. What is the car's velocity after 3 seconds?
b. What distance does the car travel in the 3 seconds?
m/s

User RoryB
by
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1 Answer

26 votes
26 votes

A car accelerates from rest at 4.5 m/s² for 3 seconds, the car's velocity after 3 seconds is 13. 5 m/s

The distance the car travel in the 3 seconds is 40. 5m/s

The first equation of motion is v = u + a t. It explains the relationship between velocity and time.

V = Final velocity

u = Initial velocity

a = acceleration

t = time.

How to determine the velocity

When an object is brought to rest or moves from resting, U, initially velocity equals 0.

From the formula,

V = u + at

V = ?

u = 0, because the object was at rest.

a = 4. 5 m/ s²

t = 3 seconds

Velocity, V = 0 + 4. 5 × 3

Velocity , V = 0 + 13. 5

Velocity, V = 13.5 m/s²

How to determine the distance

Velocity = Distance ÷ time

Velocity, V = 13. 5 m/s²

time = 3 seconds

distance = ?

Distance = Velocity × time

Distance = 13. 5 × 3

Distance = 40. 5 m

Therefore, the car's velocity after 3 seconds is 13. 5 m/s² and the distance the car travels after 3 seconds is 40. 5m

User Saud Alfadhli
by
3.1k points