Figure shows (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 .

Explanation

As `(x,t)` diagram of particle is a st line , motion along X-axis is unifrom
From ` x = ut, u = (x)/(t) = (2)/(2) = 1m//s`
Force along X-axis is zero
The `(y,t)` diagram is a parabola. If a is unifrom acceleration along Y-axis then from ` y = (1)/(2)at^(2)`
`4 = (1)/(2) a x 2^(2), a = 2 m//s^(2) `
As `F = ma :. F = (500)/(1000) xx 2 = 1 N` along Y-axis .