Projectile Motion - Worksheet

 

Projectile Motion Worksheet 

Topic

  • Projectile motion from the ground
  • Projectile motion from a tall building
  • Time of flight
  • Horizontal range
  • Maximum height
  • Velocity at any instant

Take g=10m/s2g=10\,\text{m/s}^2 unless otherwise stated.


Multiple Choice Questions

1.

A particle is projected from the ground with speed 20 m/s at an angle 30° with the horizontal. The maximum height reached is

A) 2.5 m

B) 5 m

C) 10 m

D) 20 m


2.

A ball is projected from the ground with speed 20 m/s at 45°. The horizontal range is

A) 20 m

B) 30 m

C) 40 m

D) 50 m


3.

A projectile is fired with speed 25 m/s at an angle 53°. The time of flight is

A) 2 s

B) 3 s

C) 4 s

D) 5 s


4.

A stone is projected horizontally from the top of a 45 m high building with speed 15 m/s. The time taken to reach the ground is

A) 2 s

B) 3 s

C) 4 s

D) 5 s


5.

The horizontal distance travelled by the stone in Question 4 before hitting the ground is

A) 30 m

B) 45 m

C) 60 m

D) 75 m


6.

A projectile is launched with speed 40 m/s at 60°. Its velocity at the highest point is

A) Zero

B) 20 m/s horizontally

C) 20√3 m/s horizontally

D) 40 m/s vertically


7.

A projectile is fired at 30° and another at 60° with the same speed. Their ranges are

A) Equal

B) First is larger

C) Second is larger

D) Cannot be compared


8.

The maximum height of a projectile becomes four times if

A) Initial speed doubles

B) Projection angle doubles

C) Initial speed becomes √2 times

D) Initial speed becomes four times


9.

A projectile has initial velocity components ux=24u_x=24 m/s and uy=18u_y=18 m/s. The speed at the highest point is

A) 18 m/s

B) 24 m/s

C) 30 m/s

D) Zero


10.

A projectile is projected with speed 50 m/s at 37°. The maximum height is approximately

A) 22.5 m

B) 30 m

C) 45 m

D) 60 m


11.

A ball is thrown from the top of a 20 m building with velocity 15 m/s making 30° above the horizontal. The time taken to hit the ground is

A) 2 s

B) 3 s

C) 4 s

D) 5 s


12.

A projectile is launched from ground with speed 30 m/s at 60°. The horizontal velocity after 2 s is

A) 0

B) 10 m/s

C) 15 m/s

D) 30 m/s


13.

A projectile is projected with speed 40 m/s at 30°. Its velocity after 2 s is

A) 20 m/s horizontally

B) 34.6 m/s horizontally

C) 34.6 m/s horizontally and zero vertically

D) 40 m/s vertically


14.

A projectile is projected at 45°. At what instant is its speed minimum?

A) At launch

B) At maximum height

C) Just before landing

D) Speed remains constant


15.

A projectile is fired from the ground with speed 10√5 m/s at 63°. The horizontal range is

A) 20 m

B) 30 m

C) 40 m

D) 50 m


16.

A stone is projected horizontally from a 80 m high building with speed 20 m/s. Its speed just before striking the ground is

A) 20 m/s

B) 40 m/s

C) 44.7 m/s

D) 50 m/s


17.

A projectile is fired with speed 20 m/s at 60°. Its velocity after 1 s is

A) 10i^+7.3j^10\hat{i}+7.3\hat{j}

B) 20i^+7.3j^20\hat{i}+7.3\hat{j}

C) 10i^+17.3j^10\hat{i}+17.3\hat{j}

D) 20i^10j^20\hat{i}-10\hat{j}


18.

A projectile is projected with speed 30 m/s at 53°. The speed after 2 s is approximately

A) 18 m/s

B) 24 m/s

C) 30 m/s

D) 36 m/s


19.

A particle is projected from a building with speed 25 m/s at 37° above horizontal. After 1 s, its vertical component of velocity is

A) 5 m/s upward

B) 10 m/s upward

C) 15 m/s upward

D) 20 m/s upward


20.

A projectile is projected from the ground. At one instant its velocity makes 30° below the horizontal while descending. If it was projected at 30° above the horizontal, then its speed at that instant is

A) Less than initial speed

B) Equal to initial speed

C) Greater than initial speed

D) Zero


Answer Key

QAns
1B
2C
3C
4B
5B
6C
7A
8A
9B
10C
11B
12C
13C
14B
15C
16C
17A
18B
19A
20B

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