A stone is projected at angle `45^(@)` with the horizontal (x- axis) as shown in figure. Four graphs representing either the magnitude of horizontal `(v_(x))` or magnitude of vertical `(v_(y))` component of velocity of stone w.r.t. time t are given below. Determine which of the following magnitude of velocity verseus time graph t, respestively for the stone during its motion.

Options

A. `V_(x)`versus t - I , `V_(y)`versus t - IV
B. `V_(x)`versus t - II , `V_(y)`versus t - III
C. `V_(x)`versus t - I , `V_(y)`versus t - II
D. `V_(x)`versus t - II , `V_(y)`versus t - IV

Answer

B

Explanation

A stone is …………..
`v_(x)=u_(x)`
`v_(y)=u_(y)-gt`
Magnitude of `v_(x)` remains constant. Magnitude of `v_(y)` decreases linearly with time to zero asnd then increases. Therefore the correct graphs are