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Question

A ball falls off a table and reaches the ground in 1s. Assuming g=10ms2. Calculate its speed on reaching the ground and the height of the table.


Your Answer
A
5ms1 and 5m
Your Answer
B
20ms1 and 10m
Correct Answer
C
10ms1 and 5m
Your Answer
D
30ms1 and 15m

Solution

The correct option is C 10ms1 and 5m
Given,
Time taken, t=1s
Initial velocity, u=0
Acceleration due to gravity, g=10ms2
(Upward direction is taken as positive)

Let the final speed be v.
From equation of motion, 
v=u+gt
v=(010×1) ms1
v=10ms1
Minus indicates velocity in downwards direction.

Let the height of table be h. Then displacement will be h as the final position is below the initial position.
From equation of motion, 
h=ut+12gt2
h=0×112×(10)×12
h=5 m

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