mathematical question regarding distance and speed of a vehicle

Question

find the speed based on distance:

if a vehicle can reach 0 to 60 in 5.5 seconds in full throttle. how fast would the vehicle have reached in 280 feet in a straight line?

Answer 1

I assume the units of 60 is miles per hour (mph). If feet per second, then that's a different problem.

60 mph = 60(5280 ft)/(3600 seconds) = 88 ft/second

velocity, v = at

acceleration, a = (88-0)/5.5 = 16 ft/s²

distance s = at²/2 + v₀t + s₀ , where v₀ and s₀ are the initial velocity and distance, both zero.

s = 280 ft

t = √(2s/a) = √((2)(280)/(16)) = 5.916 seconds

v = at = 16(5.916) = 94.65 ft/second = (94.65/5280)(3600) = 64.53 mph