n object initially at rest falls freely near Earth's surface. How long does it take the object to attain a speed of 98 m/s?A 0.1 sB 10 sC 98 sD 960 s
Question
n object initially at rest falls freely near Earth's surface. How long does it take the object to attain a speed of 98 m/s?
A. 0.1 s
B. 10 s
C. 98 s
D. 960 s
Solution
The acceleration due to gravity near Earth's surface is approximately 9.8 m/s². This means that an object falling freely (ignoring air resistance) will increase its speed by 9.8 m/s every second.
To find out how long it takes for the object to reach a speed of 98 m/s, we can use the formula:
v = gt
where: v is the final speed, g is the acceleration due to gravity, and t is the time.
Rearranging the formula to solve for time gives:
t = v / g
Substituting the given values gives:
t = 98 m/s / 9.8 m/s² = 10 s
So, the object will take 10 seconds to reach a speed of 98 m/s. The correct answer is B, 10 s.
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