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IMPORTANT

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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.

Important Questions on Kinematics

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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

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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 .

HARD

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IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 11

The radius vector of a point

A

relative to the origin varies with time

t

\vec{r} = a t \hat{i} - b t^{2} \hat{j},

where

a

and

b

are positive constants and

\hat{i}

and

\hat{j}

are the unit vectors of the

x

and

y

axes. Find:
(i) The equation of the point's trajectory

y (x)

; plot this function
(ii) The time dependence of the velocity

\vec{v}

and acceleration

\vec{a}

vectors as well as of the moduli of these quantities.

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 12

A particle is projected at an angle $θ$ with an inclined plane making an angle $β$ with the horizontal as shown in the figure, speed of the particle is $u,$ after time $t$ find:

Question Image

(a) $x$ component of acceleration?
(b) $y$ component of acceleration?
(c) $x$ component of velocity?
(d) $y$ component of velocity?
(e) $x$ component of displacement?
(f) $y$ component of displacement?
(g) $y$ component of velocity when the particle is at maximum distance from the inclined plane?

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 13

A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant?

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Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 14

A bullet is fired horizontally from a rifle at a distant target. Ignoring the effect of air resistance, which of the following is correct?

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IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 15

A point mass is projected, making an acute angle with the horizontal. If the angle between velocity and acceleration

\vec{g}

θ

at any time

t

during the motion, then

θ

is given by

MEDIUM

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IMPORTANT

Alpha Question Bank for Engineering: Physics>Chapter 4 - Kinematics>Exercise - 1>Q 16

A projectile is thrown with a speed

u

at an angle

θ

with the upward vertical. Its average velocity between the instants at which it crosses half the maximum height is

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.

Important Questions on Kinematics

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