A body is projected upwards under gravity with a speed of $19.6 m s^{- 1} .$ The maximum height which can be reached is:

4.9 m

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19.6 m

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9.8 m

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39.2 m

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Solution

The correct option is B $19.6 m$
When it reaches highest point:
$v = o$ m/s, $y = 19.6$ m/s
$h f = h m$ and $h i = o m$ . So, work done by gravity $= - m g h$
As only gravity is acting under free-fall,
Applying work-Theorem, W gravity $= Δ k E$
$\Rightarrow - m g h = \frac{m}{2} [0 - (19.6)^{2}]$
$\Rightarrow h = (19.6)^{2} = 19.6$ m
Option B is correct.

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A body is projected upwards under gravity with a speed of 19.6ms−1. The maximum height which can be reached is:

The correct option is B 19.6mWhen it reaches highest point:v=o m/s, y=19.6 m/shf=hm and hi=om. So, work done by gravity=−mghAs only gravity is acting under free-fall,Applying work-Theorem, W gravity =ΔkE⇒−mgh=m2[0−(19.6)2]⇒h=(19.6)2=19.6mOption B is correct.

A body is projected upwards under gravity with a speed of $19.6 m s^{- 1} .$ The maximum height which can be reached is: