A heavy particle is projected with a velocity at an angle $ heta$ with the horizontal into a unifor

Question

A heavy particle is projected with a velocity at an angle $	heta$ with the horizontal into a uniform gravitational field. The slope of the trajectory of the particle varies as

Professor PC Thomas Classes · Answer

(a) : Equation of trajectory is of the form, $y=a x-b x^2$ Slope, $\frac{d y}{d x}=a-2 b x$, where, $x=(u \cos 	heta) t$ $$ \frac{d y}{d x}=a-(2 b u \cos 	heta) t $$ Slope vs $t$ is a straight line with negative slope.