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Class 11
Physics
Motion in a Plane
the ceiling of a long hall is 25 m high what is t...

Question:
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^–1 can go without hitting the ceiling of the hall?

Answer:

Speed of the ball, u = 40 m/s

Maximum height, h = 25 m

In projectile motion, the maximum height reached by a body projected at an angle θ, is given by the relation:

h = u² sin²Ø / 2g

25 = 40² sin²Ø / 2 x 9.8

sin² θ = 0.30625

sin θ = 0.5534

∴θ = sin^–1(0.5534) = 33.60°

Horizontal range, R = u² sin2Ø / g

= 40² x sin2 x 33.60 / 9.8

= 1600 x sin 67.2 / 9.8

= 1600 x 0.922 / 9.8 = 150.53 m

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Question:
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^–1 can go without hitting the ceiling of the hall?

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Question: 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–1 can go without hitting the ceiling of the hall?

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Question:
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^–1 can go without hitting the ceiling of the hall?