Question

a particle is thrown with angle theta after time t angle becomes alpha. find the initial velocity.​

Answer 1

Answer:

V = gtCosα/Sin(θ - α)

Explanation:

a particle is thrown with angle theta after time t angle becomes alpha. find the initial velocity.​

Let say initial velocity = V

Angle = θ

Horizontal Speed = VCosθ

Vertical Speed = VSinθ

after time t

Horizontal Speed = VCosθ

& Vertical Speed = VSinθ - gt

Angle = α

=> Tanα  = (VSinθ - gt)/VCosθ

=> Sinα/Cosα = (VSinθ - gt)/VCosθ

=> VSinαCosθ = VCosαSinθ - gtCosα

=> V(SinαCosθ - CosαSinθ) = -gtCosα

=> VSin(α - θ) = -gtCosα

=> VSin(θ - α) = gtCosα

=> V = gtCosα/Sin(θ - α)