Question

A body is thrown horizontally from the top of a tower of height $$5\ m$$. It touches the ground at a distance of $$10\ m$$ from the foot of the tower. The initial velocity of the body is $$\left( g=10\ m{ s }^{ -2 } \right)$$

A
2.5 ms1
B
5 ms1
C
10 ms1
D
20 ms1

Solution

The correct option is A $$2.5\ { ms }^{ -1 }$$Height of the tower    $$H= 5 \ m$$Time of flight   $$T = \sqrt{\dfrac{2H}{g}} = \sqrt{\dfrac{2\times 5}{10}} = 1 \ s$$Range of projectile is  $$R=10\ m$$  Initial velocity of projectile  $$u = \dfrac{R}{T} = \dfrac{10}{1} = 10 \ m/s$$Physics

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