`(v_(x) ,t)`, and `(v_(y) t)` diagram for a body of unit mass. Find the force as a function of time.

Explanation

As shown in figure ( a)
for 0 `lt t lt 1 sec v_(x ) = 2t`
for `t lt 2`
for figure ( b)
for `0 lt t lt 2 sec v_(y) =t`
for `0 lt t lt 2 v_(x ) = 2t`
`(d v)/(d t) = 9x = 2 (1)`
for `0 lt t lt 1`
`f_(x ) =1 xx 2 `
` lt t lt 2`
for `v_(y)`
`0 lt t lt 1 v_(y) =t`
`a_(y) = (dv_(y))/( dt ) =1`
for ` 1 lt t`
`a_(y) =0`
`0 lt t lt 1 F = 2 hat(j ) + hat(j )`
`1 lt t lt 2 s = - 2 hat(j ) 2 s`
`t gt 2 = 0`