body is projected with a velocity of 20m/s at an angle of 60degree with the vertical. Find the maximum height, time of flight and the horizontal range.
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Given, u=20ms−1,θ=60∘,t=0.5s
(i) Since, horizontal distance,
x=(u cosθ)t=(20cos60)×0.5=5m
Similarly, vertical distance,
y=(u sinθ)t−12gt2
=(20sin60∘)×0.5−12×9.8×(0.5)2⇒y=7.43m
(ii) Velocity along horizontal direction,
vx=ucosθ=20cos60∘=10ms−1
Velocity along vertical direction,
vy=usinθ−gt=20sin60∘−9.8×0.5=12.42ms−1
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