A projectile is fired with some velocity making certain angle with the horizontal. Which of the following graphs is the best representation for the kinetic energy of a projectile (KE) versus its horizontal displacement(x)?

Options

A. (a)
B. (b)
C. (c)
D. (d)

Answer

D

Explanation

Velocity of a projectile at any instant of time(t) is
`V^2=v_x^2+v_y^2=(u cos theta)^2+(u sin theta-g(x)/(u cos theta))^2`
`:. KE=1/2m u^2-mgx tan theta+(mg^2x^2)/(u^2cos^2theta)`
The given equation represents the equation of a parabola.