The ceiling of a hall is 25 m high

Asked by admin @ 20/08/2021 in Physics viewed by 387 People

Question 4.15 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?

Chapter Motion In A Plane Page 87

Answered by admin @ 20/08/2021

Given,
Hight of Hall( H) = 25 m
Let ball is thrown with speed 40m/s at an angle ∅ with horizontal .

We know,
H = u²sin²∅/2g
25= (40)² × sin²∅/2× 10
25 = 80 × sin²∅
Sin²∅ = 25/80
Sin∅ = 5/4√5
Cos∅ = √55/4√5

Now, horizontal range = u²sin2∅/g
= (40)²× 2sin∅×cos∅/g
= 160 × 2 × 5/4√5 × √55/4√5
= 20√55 m

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The ceiling of a hall is 25 m high

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