Question

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

Answer 1

The final velocity of the rocket is 80 km/s, found by using the equation v = v0 + at with the given initial velocity, acceleration, and the time period.

Step-by-step explanation:

The student is asking for the final velocity of a rocket given its initial velocity and acceleration over a time period. To find the final velocity (v), we can use the kinematic equation: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. For the rocket with an initial velocity of 5 km/s, an acceleration of 15 km/s2, and a time interval of 5 seconds, the final velocity would be calculated as follows:

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.