Numerical Problems Based on Class 11 Physics Projectile Motion

Numerical Problems Based on Class 11 Physics Projectile Motion

Q.1. A cricketer can throw a ball to maximum horizontal distance of 160 m. Calculate the maximum vertical height to which he can throw the ball ? Given g = 10 m/s².

Q.2. A ball is thrown horizontally from the top of a tower with a speed of 50 m/s. Find the velocity and position at the end of 3 second. [g = 9.8m/s²]

Q.3. A particle is projected with a velocity u so that its horizontal range is twice the greatest height attained. Find the horizontal range of it.

Q.4. A bullet fired at an angle of 30° with the horizontal hits the ground 3.0 km away. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to be fixed, and neglect air resistance.

Q.5. A ball is projected from ground with a velocity of 19.6 m/s at an angle of 30° with the horizontal. Calculate its time of flight and horizontal distance it travels.

Q.6. The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m/s can go without hitting the ceiling of the hall ?

Q.7. A person observes a birds on a tree 39.6 m high and at a distance of 35.2 m. With what velocity the person should throw an arrow at an angle of 45° so that it may hit the bird ?

Q.8. A hill is 500 m high. Supplies are to be sent across the hill using a canon that can hurl packets at a speed of 125 m/s over the hill. The canon is located at a distance of 800 m from the foot of hill and can be moved on the ground at a speed of 2 m/s, so that its distance from the hill can be adjusted. What is the shortest time in which a packet can reach on the ground across the hill? Take g = 10 m/s².

Q.9. A boy stands at 39.2 m from a building and throws a ball which just passes through a window 19.6 m above the ground. Calculate the velocity of projection of the ball.

Q.10. A hunter aims his gun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the barrel of the gun, the monkey drops. Will the bullet hit the monkey ?

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