Question

Mike Cobb had gone on a mission to rescue George from a failed space mission. Astronaut 2 Conn increases the speed of his spacecraft at a rate of 0.02 mi/s. How much time is required for the speed to increase from 8 mi/sec to 10 mi/sec?

A. 100 seconds
B. 125 seconds
C. 150 seconds
D. 175 seconds

Answer 1

Using the equation for constant acceleration, the time required for the spacecraft to increase its speed from 8 mi/s to 10 mi/s at an acceleration of 0.02 mi/s² is calculated as 100 seconds. The correct answer is A. 100 seconds.

Step-by-step explanation:

To solve for the time required for Astronaut 2 Conn to increase the spacecraft's speed from 8 mi/s to 10 mi/s, we can use the formula for constant acceleration:

v = vo + at

where v is the final velocity, vo is the initial velocity, a is the acceleration, and t is the time.

We are given:

• Final velocity (v) = 10 mi/s
• Initial velocity (vo) = 8 mi/s
• Acceleration (a) = 0.02 mi/s²

So, we can rearrange to solve for t:

t = (v - vo) / a

t = (10 mi/s - 8 mi/s) / 0.02 mi/s²

t = 2 mi/s / 0.02 mi/s²

Therefore, t = 100 seconds.

The correct answer is A. 100 seconds.