It takes 10.0 s for a Ferrari to accelerate from 0 miles per hour to 60 miles pe

Question

It takes 10.0 s for a Ferrari to accelerate from 0 miles per hour to 60 miles per hour.
a. How much time does it take for the Ferrari to accelerate to 100 miles per hour from rest?
b. How much distance is transverse by the instant that the Ferrari is moving at 100 miles per hour?
I have the answers to the questions, I just don’t know how to solve for them! It takes 10.0 s for a Ferrari to accelerate from 0 miles per hour to 60 miles per hour.
a. How much time does it take for the Ferrari to accelerate to 100 miles per hour from rest?
b. How much distance is transverse by the instant that the Ferrari is moving at 100 miles per hour?
I have the answers to the questions, I just don’t know how to solve for them!
a. How much time does it take for the Ferrari to accelerate to 100 miles per hour from rest?
b. How much distance is transverse by the instant that the Ferrari is moving at 100 miles per hour?
I have the answers to the questions, I just don’t know how to solve for them!

Explanation / Answer

This is a very simple problem of kinematics. To solve the problem, first you have to determine the value of acceleration and for this convert the unit of velocity into meter per sec.

So, 60 mile per hour = 60 x 0.447 m/s = 26.8 m/s

and, 100 mile per hour = 100 x 0.447 m/s = 44.7 m/s

(a) Use the expression -

v = u + a*t

where, u = initial velocity = 0 (in our case)

t = 10.0 s (given)

v = 26.8 m/s

so we have -

26.8 = 0 + a*10.0

=> a = 26.8 / 10 = 2.68 m/s^2

Now, suppose time taken by the Ferrari to reach a velocity of 100 mile per hour (44.7 m/s) is T.

put the values in the above expression like previous -

44.7 = 0 + 2.68*T

=> T = 44.7 / 2.68 = 16.7 s (Answer)

(b) Suppose distance travelled by the Ferrari is S meter during this.

So use the expression -

v^2 = u^2 + 2*a*S

=> 44.7^2 = 0 + 2*2.68*S

=> S = 44.7^2 / (2*2.68) = 372.8 meter (Answer).

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