A ball is projected from a point at a distance 100 m
from a building. The ball enters a window,
horizontally, at a height of 50 m. Find the magnitude
and direction of velocity of projection.
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Answer:
The answer is 50√2 m/s
Explanation:
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The answer is 50√2 m/s in downward direction.
GIVEN
A ball is projected from a point at a distance 100 m
from a building. The ball enters a window,
horizontally, at a height of 50 m
TO FIND
The magnitude and velocity of projection
SOLUTION
The above problem can be simplybsolved as follows;
Height of the projectile, = u²sin²θ/2g
Where,
u = initial velocity
g = acceleration due to gravity
tanθ = 50/100
= 1/2
h = √(1)² + (4)
h = √5
sinθ = 1/√5
Now,
20 × 50 = u² (1/√5)²
u² = 20 × 50 × 5
u = √(20 × 50 × 5)
= 50√2 m/s
Hence, The answer is 50√2 m/s in downward direction.
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