An object falls freely from rest. The total distance covered by it in 2 s will be(Note: The acceleration due to gravity 'g' is 9.8 m/s2.)
Correct answer: B. 19.6 m
- A. 4.9 m
- B. 19.6 m
- C. 29.4 m
- D. 39.2 m
Explanation
To determine the total distance covered by an object falling freely from rest, we use the following kinematic equation:* s = ut + (1/2)at²Where:* s = distance covered* u = initial velocity* t = time* a = acceleration (in this case, acceleration due to gravity, g)Given values from the question:* Initial velocity (u) = 0 m/s (since it falls from rest)* Time (t) = 2 s* Acceleration due to gravity (g) = 9.8 m/s²Now, substitute these values into the formula:* s = (0 m/s)(2 s) + (1/2)(9.8 m/s²)(2 s)²* s = 0 + (1/2)(9.8)(4)* s = (1/2)(39.2)* s = 19.6 m
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About Acceleration
Acceleration measures the rate at which velocity changes with time, including changes in speed, direction or both. Work includes average and instantaneous acceleration, the relation a = Δv/Δt, uniform acceleration equations, and interpreting velocity time and displacement time graphs, with acceleration carefully distinguished from velocity.
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