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Projectile Motion-Grade 11

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

The fact that an apple and a watermelon, dropped simultaneously from the same height, would hit the ground at the same time indicates that

a)

you don't like apples or watermelons.

b)

greater masses have greater acceleration.

c)

lesser masses have greater acceleration.

d)

acceleration is independent of mass.

2.

Which vector pair (arrow pair) correctly represents the acceleration and velocity at point P?

a)
b)
c)
d)
3.

A projectile is fired with a velocity v at an angle θ with

the horizontal. The speed of the projectile when its direction of motion makes an angle β with the horizontal

is

a)

v cos θ

b)

v cos θ cos β

c)

v cos θ sec β

d)

v cos θ tan β.

4.

A projectile is thrown with velocity v at an angle θ with

the horizontal. When the projectile is at a height equal

to half of the maximum height, then the vertical com-

ponent of the velocity of projectile is

a)

v sin θ × 3

b)

v sin θ + 3

c)

vsinθ2\frac{v\sin\theta}{\sqrt{2}}

d)

vsinθ3\frac{v\sin\theta}{\sqrt{3}}

5.

A ball is projected upwards from the top of a tower with a velocity of 50 m/s making an angle of 60° with the vertical. If the height of the tower is 70 m, then the ball will reach the ground in (Take g = 10 m.s–2)

a)

2 s

b)

3 s

c)

5 s

d)

7 s

6.

If the time of flight of a bullet over a horizontal range R

is T, then the inclination of the direction of projection

with the horizontal is

a)

tan1[gT22R]\tan^{-1}\left[\frac{gT^2}{2R}\right]

b)

tan1[2R2gT]\tan^{-1}\left[\frac{2R^2}{gT}\right]

c)

tan1[2R92π]\tan^{-1}\left[\frac{2R}{9^2\pi}\right]

d)

tan1[2v2g]\tan^{-1}\left[\frac{2v^2}{g}\right]

7.

With a given velocity, a projectile can have the same

range R for two angles of projection. If t1 and t2 be the times of flight in the two cases, then what is the product of the two times of flight ?

a)

R2\propto R^2

b)

R\propto R

c)

1R\propto\frac{1}{R}

d)

1R2\propto\frac{1}{R^2}

8.

Two tall buildings are 40 m apart. With what speed
must a ball be thrown horizontally from a window 145
m above the ground in one building, so that it will enter a window 22.5 m from the ground in the other ? Take g = 9.8m/s2

a)

5 m/s

b)

8 m/s

c)

10 m/s

d)

16 m/s

9.

A projectile is thrown with velocity v making an angle

θ with the horizontal. It just crosses the tops of two poles,

each of height h, after 1 second and 3 second respectively. The time of flight of the projectile is

a)

1 s

b)

4 s

c)

8 s

d)

4.8 s

10.

Water drops fall at regular intervals from a tap which

is 5 m above the ground. The third drop is leaving the

tap at the instant the first drop touches the ground.

How far above the ground is the second drop at that

instant ? (Take g = 10 m.s–2)

a)

1.25 m

b)

4.00 m

c)

2.50 m

d)

3.75 m