In a projectile motion let `v_(x)` and `v_(y)` are the horizontal and vertical components of velocity at any time `t` and `x` and `y` are displacements along horizontal and vertical from the point of projection at any time `t`.Then

Options

A. `v_(y)-t` graph is a straight line with negative slope and positive intercept
B. `x-t`graph is a straight line passing through origin
C. `y-t` graph is a straight line passing through origin
D. `u_(x)-t` graph is a straight line

Answer

A, B, D

Explanation

If `u` is the initial speed and `theta` the angle of projection.Then `v_(y)= u sin theta-"gt"` i.e., `x-t` graph is a straight line passing through the origin. `y=(u sin theta)t-1/2 "gt"^(2)`
i.e., `y-t`graph is parpbola i.e., `v_(x)-t` graph is a straight line parallel to `t`-axis.