a projectile is projected in x y plane under the effect of gravity with speed u at an angle 60 with horizontal if p is the initial momentum of the projectile then find its momentum at the highest point
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The total time of flight is
Resultant displacement is zero in Vertical direction.
Therefore, by using equation of motion
s=ut−21gt2
gt=2sinθ
t=g2sinθ
(b). The horizontal range is
Horizontal range OA = horizontal component of velocity × total flight time
R=ucosθ×g2usinθ
R=gu2sin2θ
(c). The maximum height is
It is the highest point of the trajectory point A. When the ball is at point A, the vertical component of the velocity will be zero.
By using equation of motion
v2=u2−2as
0=u2sin2θ−2gH
H=2gu2sin2θ
Hence, this is the required solution
Explanation:
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