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In a computer game, a ball is at (2, 1) m at t = 0.

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

In a computer game, a ball is at $(2, 1)\ \text{m}$ at $t = 0$ . It has the velocity $(1, 3)\ \text{m/s}$ and a steady acceleration $(0, -2)\ \text{m/s}^2$ , each written as (x part, y part).

Where is the ball at $t = 3\ \text{s}$ ?
What is its speed then?
At what time is it highest?

Need a reminder? The key ideaShow

With a constant acceleration, use the equations of motion along each axis separately, with the same time $t$ :

\displaystyle x = x_0 + u_x t + \tfrac{1}{2}a_x t^2

\displaystyle v_x = u_x + a_x t

and the same two equations for $y$ .

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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