Question

During testing, a rocket accelerates upward at a rate of 3.7 m/s² for 24 seconds before eventually completing a controlled landing on the original launchpad. What is the rocket's maximum velocity? What is the average velocity of the test trail?

A) Maximum velocity: 88.8 m/s; Average velocity: 44.4 m/s
B) Maximum velocity: 88.8 m/s; Average velocity: 35.1 m/s
C) Maximum velocity: 98.8 m/s; Average velocity: 35.1 m/s
D) Maximum velocity: 98.8 m/s; Average velocity: 44.4 m/s

Answer 1

The maximum velocity of the rocket is 88.8 m/s, while the average velocity is 0 m/s.

Step-by-step explanation:

The maximum velocity of the rocket can be calculated using the equation:

final velocity = initial velocity + (acceleration × time)

Given that the rocket accelerates at a rate of 3.7 m/s² for 24 seconds, the initial velocity is 0 m/s, and the final velocity is the maximum velocity. Plugging in the values, we get:

final velocity = 0 + (3.7 × 24) = 88.8 m/s

The average velocity of the test trial can be found by dividing the total displacement by the total time taken. Since the rocket completes a controlled landing on the original launchpad, the displacement is zero, and therefore the average velocity is also zero.

Therefore, the correct answer is A) Maximum velocity: 88.8 m/s; Average velocity: 44.4 m/s.