A Tesla Roadster car accelerates from rest at a rate of 7.1m/s for a time of 3.9s
1 answer:
The distance covered is 54.0 m
Explanation:
Since the motion of the car is a uniformly accelerated motion, we can use the following suvat equation:
where
u is the initial velocity
t is the time
a is the acceleration
s is the distance covered
For the car in this problem, we have
u = 0 (it starts from rest)
is the acceleration
t = 3.9 s is the time
Substituting, we find s:
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To solve this problem it is necessary to apply the equations related to the description of the tangential and angular movement.
The displacement where the speed and acceleration is related is given by the equation:
Where
Initial velocity (0 because start from rest)
t = time
a = Acceleration
We have angular acceleration but not tangential acceleration. Tangential acceleration can be obtained through the relationship
And we have also that the displacement is
Now replacing,
Therefore will take the cord to unwind around 10s