A car on a flat road accelerates from rest at a constant rate and covers a dista
ID: 1561347 • Letter: A
Question
A car on a flat road accelerates from rest at a constant rate and covers a distance of 100 m in 7 s.
The mass of the car is 1200 kg.
What is the acceleration of the car? m/s2
What is the net force on the car? N
The car is now loaded with heavy equipment and has a NEW total mass of 1600 kg.
If the same net force is applied to the car as calculated above, then what would be the new acceleration of the car? m/s2
With this new acceleration, how much time would it take the (heavier) car to travel 100 m starting from rest? s
What would be the speed of the (heavier) car when it reaches this point? m/s
Explanation / Answer
d = v0 t + a t^2 /2
100 = 0 + a (7^2)/ 2
a = 4.08 m/s^2 .........Ans
F = m a= 1200 x 4.08
F = 4898 N ........Ans
a = F/ m = 4898 / 1600 = 3.06 m/s^2 ..........Ans
100 = 0 + 3.06 t^2 /2
t = 8.08 sec .......Ans
v = v0 + a t =0 + (8.08 x3.06)
v = 24.7 m/s ...........Ans
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