Questions on Projectile motion

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Instructor: Saurabh verma

B.tech, IIT Kanpur

mob: 09956551609

Q.1: What is projectile motion? Prove that its trajectory is a parabola.

Q.2: In a projectile motion, a particle is thrown with velocity u making an angle q with horizontal. Derive the formula for maximum height, flight time and range.

Q.3: A canon is placed on a tower of height 100 m. The canon is fired at angle 30^o with horizontal and velocity 1000 m/s. Find out-

1. Time required to attain maximum height
2.  Total flight time
3. Final velocity at which the ball will strike the ground
4. Maximum height of the projectile
5. The range of the projectile

Q.4: A man sees a bird at the height of 39.6 m and 59.2 m far from the man on the tree. He fires at an angle of 45^o. Find out:

1. What would be the velocity of bullet
2. After how much time bullet will hit the bird

Q.5: If two balls are projected with same velocity and different angle and they achieve the same range. Flight time of balls is T₁ and T₂ respectively. Prove

T₁.T₂= 2R/g

Q.6: A stone is thrown at velocity 10 m/s with 60^o horizontal angle. If the range of projectile is 10Ö3 m, find out the height of tower.

Q.7: If the maximum velocity of a canon is V, what will be the maximum area that can be protected by this canon?

Q.8: A monkey is seated upon tree of height H and point of shooting is x meter far from the base of tree. Will the man can kill the monkey if his target is at monkey and

1. Monkey remain seated at tree
2. Monkey is falling freely