If an object accelerates at 10 m/s², how much speed does it gain in 5 seconds?

To determine how much speed an object gains when it accelerates at a rate of 10 m/s² over a time period of 5 seconds, you can use the formula for acceleration:

[ \text{Speed gain} = \text{acceleration} \times \text{time} ]

In this case, the acceleration is 10 m/s², and the time is 5 seconds.

Substituting these values into the formula gives:

[ \text{Speed gain} = 10 , \text{m/s²} \times 5 , \text{s} = 50 , \text{m/s} ]

The object gains 50 m/s of speed after 5 seconds of accelerating at 10 m/s². This calculation is consistent with the principles of kinematics, where acceleration is defined as the rate of change of velocity over time. Thus, the correct answer reflects the direct multiplication of acceleration by time to find the total change in speed.