A particle moves along `x`-axis with constant acceleration and its `x`-position depend on time `t` as shown in the following graph (parabola),then in interval `0` to `4 sec`.

Options

A. relation between `x`-coordinate & time is `x=t-t^(2)//4`
B. maximum `x`-coordinate is `1m`.
C. total distance travelled is `2m`
D. average speed is `0.5 m//s`

Answer

A, B, C, D

Explanation

`(dx)/(dt)=1-t/2 ,1-t/2=0 , t=2s`
`x=t-t^(2)/4 , x=1m`
total distance`=2m`
Average speed `V_(av)=2/24=0.5 m//s`.