4.15 The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m s-1 can go without hitting the ceiling of the hall?

NEETprep Answer:
We know that,
H=u2sin2θ2g
25=(40)2sin2θ2×9.8
sinθ=25×2×9.8(40)2=0.55334
θ=33.60
Range, R=u2sin2θg=(40)2×sin(2×33.60)9.8=150.53 m