Question

The initial velocity of a particle of mass 2 kg is $(4 \hat{i} + 4 \hat{j}) {ms}^{- 1}$ A constant force of $- 20 \hat{j} N$ is applied on the particle. Initially, the particle was at (0, 0). Find the x-coordinate of the point, where its y-coordinate is again zero.

Moderate

Solution

We can see that it is like a projectile motion, with
$u_{x} = 4 {ms}^{- 1}, u_{y} = 4 {ms}^{- 1} and a_{y} = 10 {ms}^{- 2}$
$x -coordinate = Range = \frac{2 u_{x} u_{y}}{g} = \frac{2 \times 4 \times 4}{10} = 3.2 m$

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