Teacher's Guide - Pearson

Activity 14.4 (Student’s Book page 252)2. a) The ball goes up in the air to 3 metres above the point from where it wasthrown (reference point) in 1 second, after which it stops and then falls back,past the reference point to a point 9 metres below the reference point in thenext 2 seconds. The ball falls under a constant acceleration, which is why thecurve has a parabolic shape (there is a quadratic relationship between thedisplacement and the time).b) Displacement positive for 0 t 2.c) After 1 second (the velocity changes direction).d) 3 m/s upwards.Exercise 14.1 (Student’s Book page 253)1. a) 1.5 metres1.5b) ___0.8 ​ 5 1.875 sc) 3.375 sd)e) Total displacement 5 0 m2. a) AB: Object stationary for 2 seconds at 1 metre from the reference point.BC: Object accelerates at a constant rate (velocity increases) for 2 seconds andis displaced 3 metres from the starting point (4 metres from the referencepoint).CD: Object moves at constant velocity (0.5 m/s) for 2 seconds and is displacedby another metre.DE: Object moves back to the reference point at a constant velocity (2 5m/s)in 1 second.b) 21 mc) Distance 5 3 1 1 1 5 5 9 md) Velocity 5 ____________displacement ​ 5 2​5__ ​ 5 25 m/stime 1e) Average velocity 5 2​1__ ​ 2 0.14 m/s780 EXPLORING MATHEMATICS FORM 3