A projectile is thrown with some initial velocity at an angle [tex]\alpha[/tex] to the horizontal. Its velocity when it is at the highest point is √2/5 times the velocity when it is at height half of the maximum height. Find the angle of Projection [tex]\alpha[/tex] with the horizontal.
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Verified answer
Answer
Angle of projection = 60°
Given
A projectile is thrown with some initial velocity at an angle α to the horizontal. Its velocity when it is at the highest point is √2/5 times the velocity when it is at height half of the maximum height
To Find
The angle of Projection α with the horizontal
Solution
In horizontal projection ,
A/c , " velocity when it is at the highest point is √2/5 times the velocity "
Apply 3rd equation of motion ,
Given that ,
So , Angle of projection , θ = α = 60°
GIVEN :-
FORMULA :-
CALCULATION :-
✍️ Let, initial velocity of the projectile motion is ‘u’ .
✍️ We have know that, at the maximum height of the projectile motion
✍️ Now, vertical velocity at the half of the maximum height is
✴️ So, net velocity at half of the maximum height is
✍️ According to the question,
✍️ Therefore, the angle of projection
with the horizontal is ‘60°’ .