A body is projected with a velocity of 10m/s at 45degrees to the horizontal. the velocity of the projectile when it moves at 30 degrees to the horizontal
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As horizontal component of velocity remains same which is 5cos45°
And vertical velocity at starring is 5sin45°
Therefore when angle is 30° then velocity will be Vsin30°
By the given conditions
tan30° = Vsin30°/5cos45°
From solving above... We get V
And vertical velocity at starring is 5sin45°
Therefore when angle is 30° then velocity will be Vsin30°
By the given conditions
tan30° = Vsin30°/5cos45°
From solving above... We get V
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Answer:
From projectile motion
R=u2sin2θg——(1)
Here R= horizontal range of a projectile
u=20ms−1= initial velocity of projection
g=9.8ms−2≈10ms−2= Acceleration due to gravity
θ=450= angle of projection
Therefore equation (1) becomes
R=20/2sin(90)10[sincesin90=1]
⇒R=20×2010=20×2=40m
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