A moving point has a position

function (S) and is given by 2D quantities where the (Y) axis is affected by gravity (9.8m/s/s) and (t) is in seconds.

X(t)=4t cos θ and Y(t)= 4t sin (θ)-5t^2

If θ = Pi /3 find the speed in directions after 1second

Find the

angle where maximum X direction = maximum Y direction

Find the time for maximum x direction = maximum Y direction

Find the acceleration after 2 seconds

Does the acceleration vary against time?

Relevant equations/notes....

Use Equations of linear motion. Eg.

V= u + at

S = ut + 1/2 at^2

V^2 = u^2 + 2as

9.8m/s/s can be rounded to 10m/s/s for simplicity

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