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(x, t), (y, t) diagram of a particle mov...

(x, t), (y, t) diagram of a particle moving in 2-dimensions
If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.

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From figure ( a)
Velocity `v= (Delta x )/( Delta t) = (2-0)/( 2-0) = 1 m//s`
`Delta v = 0 , a_(x ) = 0`
From figure ( b)
Matchematical relation y =`t^(2)`
`a= (dv )/( dy ) = 200 = 2`
`f_(x ) = ma_(x ) `
Resultant force
`F=sqrt(F_(x)^(2) + F_(y)^(2))`
`=1N`
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