Question:
A race car starts from rest and speed up uniformly to the right until it reaches a maximum velocity of 60m/s in 15 secs
Answer:
4m/s²
Explanation:
The acceleration of a body in uniform motion can be found by using one of the equations of motion as follows;
v = u + at ------------------(i)
Where;
v = final velocity of the body
u = initial velocity of the body
a = acceleration of the body
t = time taken for the motion
From the question, the body is the race car and has the following:
v = 60m/s²
u = 0 [since the car starts from rest]
t = 15 secs.
Now, substitute these values into equation(i) as follows;
60 = 0 + a(15)
60 = 15a [Divide through by 15]
[tex]\frac{60}{15}[/tex] = [tex]\frac{15a}{15}[/tex]
a = 4
Therefore, the acceleration of the race car is 4m/s²
