And they're off!

A race car is on a straight track. The race car accelerates from rest, covering 100 m 100~\mbox{m} in 5 seconds 5~\mbox{seconds} . What is the acceleration of the race car in m/s 2 \mbox{m/s}^2 ?

Details and assumptions

  • You may neglect air resistance.


The answer is 8.

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5 solutions

From the given, we can get that d = 100 m d=100m , t = 5 s t=5s , and v i = 0 m / s v_{i}=0m/s .Using the fundamental kinematic equation d = v i t + 1 2 a t 2 d=v_{i}t+\frac{1}{2}at^{2} , we get 100 m = ( 0 m / s ) ( 5 s ) + 1 2 ( a ) ( 5 s ) 2 100m=(0m/s)(5s)+\frac{1}{2}(a)(5s)^{2} . Solving for a, we get 8 m / s 2 8m/s^{2}

How did you decide whether the equation v = v 0 + a t v=v_{0}+at or s = u t + 1 2 a t 2 s=ut + \frac {1}{2}at^2 will be used ?

Kou$htav Chakrabarty - 7 years, 9 months ago

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we do not know what is the final velocity, hence, we used the second formula.

Jason Carlo Carranceja - 7 years, 9 months ago

nice solution

Felix Bunagan - 7 years, 9 months ago
Naoki Atkins
Aug 25, 2013

Kinematic equation: d = v.t + 1/2.a.t^2

Solve for a: a = 2d / t^2

Plug things in: a = 2.100 / 5^2

Simplify: a = 200 / 25

Solve: a = 8 m / s^2

Anna Ruth Alvarez
Aug 31, 2013

acceleration = 2 (distance - initial velocity)/time squared

a = 2 (100-0)/25

a = 200/25

a = 8

Henry Okafor
Aug 30, 2013

s=ut+0.5a t 2 t^{2} ......100=12.5a........a=8

Shubham Sharma
Aug 27, 2013

Sim l u y + 1 ^use the kinematic equation:-.

S =.Ut +1/2At^2 . Here u is initial velocity which is zero here, S is total distance covered a, t is time and A is acceleration..............solve the eqn and u get answer

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