A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
Question
A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
Solution
To solve this problem, we can use the formula for distance in uniformly accelerated motion:
d = vit + 0.5at^2
where: d = distance = 110 m vi = initial velocity = 0 (since the car starts from rest) a = acceleration (what we're trying to find) t = time = 5.21 seconds
Substituting the known values into the equation, we get:
110 = 05.21 + 0.5a*(5.21)^2
Solving for a, we get:
a = 2*110 / (5.21)^2
Calculate the above expression to get the acceleration.
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