QUESTION 4 A pаrticle P is mоving in а plаne with cоnstant acceleratiоn. The velocity, v m s−1, of P at time t seconds is given by v = (7 − 5t )i + (12t − 20)j (a) Find the speed of P when t = 2 (Note: Use Pythagoras) (3) (b) Find, to the nearest degree, the size of the angle between the direction of motion of P and the vector j, when t = 2 (Use your trig function once you have i (x) and j (y) ) (3) The constant acceleration of P is a m s−2 (c) Find a in terms of i and j ( Note: a = velocity/ time, rearrange the equation into that form) (3) (d) Find the value of t when P is moving in the direction of the vector (−5i + 8j) (Note: Direction for a velocity time graph is determined via the gradient. The direction vector would give you the gradient that you can equate to the gradient of v) (4)
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