A cricket fielder can throw the cricket ball with a speed v o . If...

A cricket fielder can throw the cricket ball with a speed v_o. If he throws the ball while running with speed u at an angle θ to the horizontal, find the effective angle to the horizontal at which the ball is projected in air as seen by a spectator.

Options

A $ta{{n}^{-1}}\left( \frac{{{v}_{o}}sin\theta }{{{v}_{o}}sin\theta ~+~u} \right)$
B $ta{{n}^{-1}}\left( \frac{{{v}_{o}}cos\theta }{{{v}_{o}}sin\theta ~+~u} \right)$
C $ta{{n}^{-1}}\left( \frac{{{v}_{o}}cos\theta }{{{v}_{o}}cos\theta ~+~u} \right)$
D $ta{{n}^{-1}}\left( \frac{{{v}_{o}}sin\theta }{{{v}_{o}}cos\theta ~+~u} \right)$

Correct answer

D. $ta{{n}^{-1}}\left( \frac{{{v}_{o}}sin\theta }{{{v}_{o}}cos\theta ~+~u} \right)$

Step-by-step solution

Correct Option is : (D)
$ta{{n}^{-1}}\left( \frac{{{v}_{o}}sin\theta }{{{v}_{o}}cos\theta ~+~u} \right)

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: NEET 2024 A bob is whirled in a horizontal plane by means of a string with an initial speed of ω… NEET 2024 A particle is executing uniform circular motion with velocity v and acceleration a .… NEET 2023 A ball is projected from point A with velocity 20 ~m ~s^ -1 at an angle 60^ ∘ to the… NEET 2023 A bullet is fired from a gun at the speed of 280m s ^ - 1 in the direction 30 ° above the… NEET 2023 A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m^2 about an… NEET 2023 A ball is projected with a velocity, 10 ms ^ - 1 , at an angle of 60 ° with the vertical… NEET 2022 A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ ∘ above… NEET 2022 Full Motion in Two Dimensions list All NEET PYQs