MHT CET202124 Sep 2021Morning ShiftPhysicsMotion in Two DimensionsActual
A projectile is thrown with an initial velocity ( a +b j ) m / s , where i and j are unit vectors along horizontal and vertical directions respectively. If the range of the projectile is twice the maximum height reached by it, then
Options
- Ab =2 a
- Bb =4 a
- Cb = a 2
- Db = a
Correct answer
A. b =2 a
Step-by-step solution
u _ x = a = Horizontal component of the velocity u _ y = b = Vertical component of the velocity Maximum height, H = u _ y ^2 2 ~g = b ^2 2 ~g Range, R = 2 u _ y u _ x g = 2 ba g aligned & R =2 H & 2 ba g = 2 ~b ^2 2 ~g & b =2 a aligned