Hello. I asked for help with this question, but question (a) had the only correc

Question

Hello. I asked for help with this question, but question (a) had the only correct solution. Assistance on the other two would be greatly appreciated. A hot rod can accelerate from 0 to 64 km/h in 5.1 s.
(a) What is its average acceleration, in m/s2, during this time?
Answer: 3.48 m/s2
(b) How far will it travel (in meters) during the 5.1 s, assuming its acceleration is constant?

(c) How much time (in seconds) would it require to go a distance of 0.20 km if its acceleration could be maintained at the value in (a)?
Thanks for all the help.. Hello. I asked for help with this question, but question (a) had the only correct solution. Assistance on the other two would be greatly appreciated. A hot rod can accelerate from 0 to 64 km/h in 5.1 s.
(a) What is its average acceleration, in m/s2, during this time?
Answer: 3.48 m/s2
(b) How far will it travel (in meters) during the 5.1 s, assuming its acceleration is constant?

(c) How much time (in seconds) would it require to go a distance of 0.20 km if its acceleration could be maintained at the value in (a)?
Thanks for all the help..

Explanation / Answer

A hot rod can accelerate from 0 to 64 km/h                                initial velocity is v_0   = 0 m/s                                 final velocity is v   = 64 km/ h                                                              = 17.7 m/s a ) Average acceleration during the time t = 5.1 s               a _avg   = v - v_0 / t                             = 17.7 m/s - 0 m/s / 5.1 s                             = 3.48m/s^2 b ) distance travel   is   d = average speed * time                                         = 17.7 m/s - 0 m/s * 5.1 m/s                                         = 90.27 m c ) distance travel is d = 0.20 km                                       = 200m                     d = average speed * time                      t   =   200 m / 17.7 m/s                            = 11.2 s

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