A rocket accelerates uniformly from 1000 to 4000 m/s over a distance of 5 km.How long did it take in seconds?
A)0.15
B)2
C)15
D)156
E)983

Question

Quizplus · Accepted Answer

We can use the formula: 
v = u + at, where
v = final velocity = 4000 m/s
u = initial velocity = 1000 m/s
a = acceleration = (v-u)/t
t = time taken
s = distance = 5 km = 5000 m

Substituting values, we get:
4000 = 1000 + a*t
a = (4000-1000)/t = 3000/t

Also, s = ut + 1/2 at^2
5000 = 1000t + 1/2 * (3000/t) * t^2
Simplifying, we get:
t^2 = 25
t = 5 seconds

Therefore, the rocket took 5 seconds to accelerate from 1000 to 4000 m/s.

A Rocket Accelerates Uniformly from 1000 to 4000 M/s Over