A car accelerates from 0 to 60 mph in 10 sec, with constant acceleration. The acceleration in ft/sec^2 is

Question

A car accelerates from 0 to 60 mph in 10 sec, with constant acceleration. The acceleration in ft/sec² is

Answer 1

s(t) = (a/2)t^2

s'(t) = v(t) = at

v(10) = a(10) = 60

10a = 60 mph

a = 60/10 = 6 miles per hour per sec acceleration

one mile = 5,280 feet, one hour = 60x60 seconds = 3600 sec

6mph per sec = 6(5280) feet per 3600 sec per second

5280/600 feet per sec per sec = 528/60 = 8.8 ft/sec^2

a = 8.8 ft/sec^2