Question

13 In this question, i and j are horizontal unit vectors in the East and North directions respectively. Ice hockey is played with a rubber disc called a puck. At the start of one ice hockey match, Marta hits the puck from the point with position vector (30i +13j) m. The puck is modelled as a particle which slides horizontally on a level surface at a constant velocity of (-4i+ 6j) ms For the puck to have a constant velocity, state one assumption that has been made about the playing surface. a) (1) b) Find the direction in which the puck is moving, giving your answer as a three-figure bearing (2) Another player, Cindy, starts the match at the point with position vector (341+ 22j) She starts at rest and immediately moves with a constant acceleration of (-ai) ms. m. Given that she intercepts the puck, find the value of a. cl (5)

Answer 1

vdeady from payjiny cafpeca thre Bhould t For IN puck lo hart a contart (a) groiany Piction he de velocdy Oivtuon o M/S V= -) d foin vete 134 Am Cast tun Atr lahatign oundy far andy to both of pork at a Sam lorhon 30- j Can dy Poition vut 主34 S-Vt wthu v finn veloaty velsch and a i acclalin 13+6t 22 30 -4代 = 34-1 t a-13-Su 34- 30 o- 30-6= 34-9a 10 94