A particle is projected up from a point at an angle `theta` with the horizontal direction. At any time t'. if p is the linear momentum, y is the vertical displacement, x is horizontal displacement, the graph among the following which does not represent the variation of Kinetic energy KE of the particle-

Options

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answer

A

Explanation

`KE = 1/2 mv^(2) = p^(2)/(2m)`
`KE prop P^(2)`
`KE = 1/2 mV^(2) =1/2 m(u^(2) + g^(2)t^(2) - 2ugt sin theta) (v = v_(x) hati + v_(y)hatj)`
`v^(2) = u^(2) - 2gy`
K.E `=1/2 m^(2)(u^(2) - 2gy)`
Intercept on y-axix `=1/2 mu^(2) = 1/2 m(x/t)^(2)`