Question

Cheetahs are the fastest land mammal. They can accelerate from 0 to 60
mph in 3 seconds. Assuming a cheetah’s acceleration is constant, how far
has it run during that time interval?

Answer 1

acceleration --- a
then
v = at + c
at the start, t = 0, and v=0
0 = 0 + c ---> c = 0
so v = at
when t = 3 sec = 3/3600 hrs or 1/1200, v = 60
60 = a(1/1200)
a = 72000 ------> v = 72000t

if s is the distance travelled ,
s = 36000t^2 + k
when t = 0 , s = 0, so k = 0

s = 36000t^2
when t = 3 sec or 1/1200 hrs,
s = 36000(1/1200)^2 = .025 miles

physics might have some basic formulas to do this, I did it by Calculus.

Answer 2

While traveling on the highway, a driver slows from 24 m / s to 15 m / s in 12 seconds. What is driver acceleration? (Remember that a negative value indicates a slowdown or "slowdown").