Question

A brand new corvette can go from 0 to 85 miles per hour in 4.8 seconds.

Calculate:
a. its acceleration.
b. its average velocity.
c. the distance it travels during the 4.8 as it accelerates.

Answer 1

(A) 7.9 m/s^{2}

(B) 19 m/s

(C) 91 m

Step-by-step explanation:

initial velocity (U) = 0 mph = 0 m/s

final velocity (V) = 85 mph = 85 x 0.447 = 38 m/s

initial time (ti) = 0 s

final time (t) = 4.8 s

(A) acceleration =
`(V-U)/(t)`

=
`(38-0)/(4.8)` = 7.9 m/s^{2}

(B) average velocity =
`(V+U)/(2)`

=
`(38+0)/(2)` = 19 m/s

(C) distance travelled (S) = ut +
`0.5at^(2)`

= (0 x 4.8) +
`0.5 x 7.9 x 4.8^(2)` = 91 m