Question

A rocket is traveling through space with an acceleration of 15 km/s^2 for 5 sec. The rocket's initial velocity is 5 km/sec. What is the rocket's final velocity?

a) 80 km/s
b) 30 km/s
c) 5 km/s
d) 80 km/s^2

Answer 1

The rocket's final velocity after accelerating for 5 seconds with an initial velocity of 5 km/s and an acceleration of 15 km/s² is 80 km/s.

Step-by-step explanation:

The rocket's final velocity can be calculated using the formula for uniform acceleration: final velocity (v) = initial velocity (u) + (acceleration (a) × time (t)). Given an initial velocity of 5 km/s, an acceleration of 15 km/s², and a time interval of 5 seconds, we can calculate the final velocity as follows:

v = u + (a × t)

v = 5 km/s + (15 km/s² × 5 s)

v = 5 km/s + 75 km/s

v = 80 km/s

Therefore, the rocket's final velocity is 80 km/s.