a hunter tries to hunt a monkey with a small very poisonous

A hunter tries to hunt a monkey with a small, very poisonous arrow, blown from a pipe with initial speed $${v_0}.$$ The monkey is hanging on a branch of a tree at height $$H$$ above the ground. The hunter is at a distance $$L$$ from the bottom of the tree. The monkey sees the arrow leaving the blow pipe and immediately loses the grip on the tree, falling freely down with zero initial velocity. The minimum initial speed $${v_0}$$ of the arrow for hunter to succeed while monkey is in air is

A. $$\sqrt {\frac{{g\left( {{H^2} + {L^2}} \right)}}{{2H}}} $$

B. $$\sqrt {\frac{{g{H^2}}}{{\sqrt {{H^2} + {L^2}} }}} $$

C. $$\sqrt {\frac{{g\sqrt {{H^2} + {L^2}} }}{H}} $$

D. $$\sqrt {\frac{{2g{H^2}}}{{\sqrt {{H^2} + {L^2}} }}} $$

Answer : $$\sqrt {\frac{{g\left( {{H^2} + {L^2}} \right)}}{{2H}}} $$

Solution :
$$t = \frac{s}{v} = \sqrt {{H^2} + {L^2}} \div \sqrt {\frac{{2H}}{g}} $$

Releted MCQ Question on
Basic Physics >> Kinematics

Releted Question 1

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A. Due north

B. $${30^ \circ }$$ East of north

C. $${30^ \circ }$$ West of north

D. $${60^ \circ }$$ East of north

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Releted Question 2

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

A. 1

B. 3

C. 4

D. $$\sqrt {41} $$

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Releted Question 3

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A. $$3.14 \,m/s$$

B. $$2.0 \,m/s$$

C. $$1.0 \,m/s$$

D. Zero

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Releted Question 4

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

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Releted MCQ Question on
Basic Physics >> Kinematics

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

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Kinematics

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Releted MCQ Question on Basic Physics >> Kinematics

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

Practice More Releted MCQ Question on Kinematics

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Releted MCQ Question on
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