High School

Gravity accelerates objects at a rate of 9.81 m/s². How long does it take for an object to reach a speed of 98.1 m/s?

A. 100 s
B. 10 s
C. 1 s
D. 9.81 s

Answer :

Final answer:

It takes b) 10 seconds for an object to reach a speed of 98.1 m/s when falling under the influence of gravity, which is 9.81 m/s².

Explanation:

The subject in question involves calculating the time it takes for an object to reach a certain speed under the acceleration due to gravity, which is 9.81 m/s². When an object falls freely under gravity, it gains a speed of 9.81 m/s for each second it falls, which is equivalent to 980 cm/s per second. Therefore, to reach a speed of 98.1 m/s, you would divide the final speed by the acceleration due to gravity.

98.1 m/s ÷ 9.81 m/s² = 10 s

Hence, it will take 10 seconds for an object to reach a speed of 98.1 m/s, assuming it starts from rest and no other forces are acting upon it (like air resistance).