The coefficient of friction between a racecar's wheels and the track is 1.0.The car starts from rest and accelerates at a constant rate for 700 m.Find the maximum speed at the end of the race.
A) 83 m/s
B) 91 m/s
C) 117 m/s
D) 125 m/s
E) 105 m/s

Question

The coefficient of friction between a racecar's wheels and the track is 1.0.The car starts from rest and accelerates at a constant rate for 700 m.Find the maximum speed at the end of the race.
A) 83 m/s
B) 91 m/s
C) 117 m/s
D) 125 m/s
E) ​105 m/s

Quizplus · Accepted Answer

To find the maximum speed, we need to use the formula: 
v^2 = 2ax 
where v is the final velocity, a is the acceleration and x is the distance covered. 
We know that the acceleration is constant and equal to the coefficient of friction times the acceleration due to gravity, which is 1*9.8 = 9.8 m/s^2.
So, plugging in the values, we get:
v^2 = 2*9.8*700 
v^2 = 13720 
v = √13720 
v = 117 m/s
Therefore, the correct choice is C.

The Coefficient of Friction Between a Racecar's Wheels and the Track