Q1 - The car starts from rest at t = 0 and travels along a straight line with the speed described by the graph. Construct the displacement and acceleration vs time (s−t and a−t) for the time interval 0 ≤ t ≤ 40 sec.
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Q1 - The car starts from rest at and travels along a straight line with the speed described by the graph. Construct the displacement and acceleration vs time ( and ) for the time interval .
![The velocity-time graph of a car moving along a straight road is shown in Figure 3 below. [Assumption: The car is travelling in a straight line. ] Figure 3 (Not drawn to scale) a) Determine the velocity of the car at time t = 1 s. b) Determine the acceleration of the car at time t = 5 s. c) Determine the rate of change of velocity of the car at time t = 7 s. d) Determine the displacement of the car from time t = 4 s to t = 6 s. e) Determine the average velocity of the car from time t = 0 s to t = hs, leave your answer in terms of h. f) When the car starts moving from rest at time t = 0 s, a lorry travelling with a uniform constant velocity of vm/s passes by the car. At t = 4 s, the car and lorry have the same displacement. Determine the value of v. g) When the car starts moving from rest at time t = 0 s, a motorcycle travelling with a uniform constant velocity of 16 m/s passes by the car. The motorcycle maintains this uniform velocity for 2 s before decelerating uniformly to rest at t = 10 s. The car overtakes the motorcycle at time t = ws, where 4 < w < 6. Determine the value of w.](https://www.doubtrix.com/uploads/editor/7775664077JfqMMcGvFj.png)
![(a) A particle which is moving in a straight line with constant acceleration 2 m/s2 is initially at rest. Find the distance covered by the particle in the third second of its motion. [4 marks] (b) The time variation of the position of a particle in rectilinear motion is given by x = 2t3 + t2 + 2t. If v is the velocity and a is the acceleration of the particle. Find the velocity and acceleration of the particle when t = 3 s. [4 marks] (c) A bicycle moves along a straight road such that its position is described by the graph shown. Construct the v−t graph and a−t graph for 0 ≤ t ≤ 30 s.](https://www.doubtrix.com/uploads/editor/7222719326dsBBXaPfWp.jpg)
