Find the velocity of projection and angle of projection of a missile which has horizontal range is 150m, if the - Physics - Motion In A Plane

Question

Find the velocity of projection and angle of projection of a
missile which has horizontal range is 150m, if the time of flight
for that range is 3 second (g=10m/s^2) Please answer it soon Thank
you

Satyendra Singh · Accepted Answer

R = u2 sin 2θg150 = u2 sin 2θ10 or,1500 = u2 sin 2θ1500 = u2 ×2 sinθ cosθ    750 = u2  sinθ cosθ      ---- (1)and,T = u sinθg3 = u sinθ10    u sinθ = 30    ---- (2)substituting value of  u sinθ from (2) in (1)750 = 30 u cosθu cos θ = 25   ----- (3)eq (2)eq (3) gives,tan θ = 3025 or,θ = 50
19onow,u = 25 cos 50 19 = 39
0476 ms

Find the velocity of projection and angle of projection of a missile which has horizontal range is 150m, if the time of flight for that range is 3 second (g=10m/s^2). Please answer it soon. Thank you