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IMPORTANT

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Two bodies are projected at angles $θ$ and $(90 - θ)$ to the horizontal with the same speed. Find the ratio of the maximum vertical heights?

Important Questions on Kinematics

EASY

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 3

A body is so projected in the air that the horizontal range covered by the body is equal to the maximum vertical height attained by the body during the motion. Find the angle of projection?

HARD

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 4

A projectile can have the same range

R

for two angles of projections at a given speed. If

T_{1}

and

T_{2}

be the times of flight in two cases, then find out the relation between

T_{1}, T_{2}

and

R

MEDIUM

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 5

A cricketer can throw a ball to a maximum horizontal distance of

100 m

. To what height above the ground can the cricketer throw the same ball with the same speed.

HARD

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IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 6

A player kicks a football at an angle of

45 °

with an initial speed of

20 m s^{- 1}

. A second player on the goal line

60 m

away in the direction of kick-starts running to receive the ball at that instant. Find the constant speed of the second player with which he should run to catch the ball before it hits the ground.

(g = 10 m s^{- 2})

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 7

A projectile is fired horizontally with a velocity of $98 m s^{- 1}$ from the top of a hill $490 m$ high.

$(1)$ Find the time is taken to reach the ground.

$(2)$ The distance of the target from the foot of the hill.

$(3)$ The velocity with which the particle hits the ground.

MEDIUM

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 8

From the top of a tower of height

50 m

a ball is projected upwards with a speed of

30 m s^{- 1}

at an angle of

30 °

to the horizontal. Then calculate -
(i) Maximum height from the ground.
(ii) At what distance from the foot of the tower does the projectile hit the ground.
(iii) Time of flight.

HARD

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IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 9

The equation of a projectile is

y = \sqrt{3} x - \frac{g x^{2}}{2},

find the angle of projection. Also, find the speed of projection where

t = 0

y = 0

and

x = 0

also

\frac{d^{2} x}{d t^{2}} = 0

and

\frac{d^{2} y}{d t^{2}} = - g

MEDIUM

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 10

A bullet is fired from the horizontal ground at some angle passes through the point

(\frac{3 R}{4}, \frac{R}{4}),

where

R

is the range of the bullet. Assume the point of the fire to be the origin and the bullet moves in

x

y

plane with

x

-axis horizontal and y-axis vertically upwards. The angle of projection is

\frac{α π}{180}

radian. Find

α .

Two bodies are projected at angles θ and (90-θ) to the horizontal with the same speed. Find the ratio of the maximum vertical heights?

Important Questions on Kinematics

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Two bodies are projected at angles $θ$ and $(90 - θ)$ to the horizontal with the same speed. Find the ratio of the maximum vertical heights?