Answer:
[tex]t = 5.2\ s[/tex]
Step-by-step explanation:
Given
[tex]a= 12.3m/s^2[/tex] --- acceleration
[tex]v = 64m/s[/tex] --- final velocity
[tex]u =0m/s[/tex] --- initial velocity (it is 0, because the car starts from rest)
Required
Determine the time taken
This will be solved using Newton's first equation of motion:
[tex]v = u + at[/tex]
Substitute values for v, u and a
[tex]64 = 0 + 12.3*t[/tex]
[tex]64 = 12.3t[/tex]
[tex]12.3t = 64[/tex]
Make t the subject
[tex]t = \frac{64}{12.3}[/tex]
[tex]t = 5.2\ s[/tex]
Hence, the time taken is approximately 5.2 seconds
