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A ball falls off a table and reaches the ground in 1 s. Assuming g = 10 m/s2, calculate its speed on reaching the ground and the height of the table. - Science and Technology 1

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Numerical

A ball falls off a table and reaches the ground in 1 s. Assuming g = 10 m/s2, calculate its speed on reaching the ground and the height of the table. 

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Solution

Here, t =1 s

g = 10 m/s2

u = 0

Let v be the velocity of the ball on reaching the ground.

Thus, from first equation of motion, we have

v = u + gt

⇒ v = 10 x 1 = 10 m/s

Hence, the speed of the object on reaching the ground is 10 m/s.

Let h be the height of the table. Thus, from the second equation of motion, we have 

`"S" = "ut" + 1/2 "gt"^2`

`⇒ "h" = 0 + 1/2 xx 10xx1^2`

⇒ h = 5 m 

Hence, the height of the table is 5 m.

Concept: Mass and Weight of an Object
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