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A car accelerates uniformly from rest to a speed of 6.6 m/s in 6.5 s. Find the distance the car travels during this time.

Verified Answer :

it traveled 39.6 meters

aachen

Answer:

Distance covered by the car, s = 21.56 meters

Explanation:

Given that,

Initially, the car is at rest, u = 0

It reaches a speed, final speed, v = 6.6 m/s

Time, t = 6.5 s

We need to find the distance covered by the car during this time. Firstly, we can find the acceleration of the car using equation of motion as :

\(v=u+at\)

\(6.6=0+a\times 6.5\)

\(a=1.01\ m/s^2\)

Now using third equation of motion to find distance (s) as :

\(s=\dfrac{v^2-u^2}{2a}\)

\(s=\dfrac{(6.6)^2}{2\times 1.01}\)

s = 21.56 meters

So, the distance traveled by the car during 6.5 seconds is 21.56 meters. Hence, this is the required solution.