The x and y coordinates of the particle at any time are `x=5t-2t^(2) and y=10t` respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t=2s is:

Options

A. ` 5 m//s^(2)`
B. ` -4 m//s^(2)`
C. ` -8 m//s^(2)`
D. 0

Explanation

`x = 5t - 2t^(2)`
`v_(x) = (dx)/(dt) = 5 - 4 t`
`a_(x) = (dv_(x))/(dt) = - 4`
`y = 10 t`
`v_(y) = (4s)/(dt) = 10`
`a_(y) = (dv_(y))/(dt) = 0`
`a = a_(x) = - 4 m//s^(2)`