deceleration = tan = 30/6 = 5 m s-2 β = 5(10) + ½ (5)(20) + (9)(30) + ½ (6)(30) = 50 + 50 + 270 + 90 = 460 m speed = total distance/total time = 460/20 = 23 m s-1 2005 OL A particle travels from to in a straight line. It starts from rest at and accelerates uniformly to its p q p maximum speed of 20 m/s in 10 seconds. The particle maintains this speed of 20 m/s for 15 seconds before decelerating uniformly to rest at in a further 20 seconds. q Draw a speed-time graph of the motion of the particle from to p q. Find the uniform acceleration of the particle. the uniform deceleration of the particle. the distance from to pq, p q. Find the average speed of the particle as it moves from to giving your answer in the form a/b where p q, N. a, b ∈ 2012 OL A car travels along a straight level road. It passes a with a speed of 8 m s−1 and accelerates uniformly for 12 seconds to a speed of 32 m s−1. P It then travels at a constant speed of 32 m s−1 for 7 seconds. Finally the car decelerates uniformly from 32 m s−1 to rest at a point Q. The car travels 128 metres while decelerating. Find (i) the acceleration (ii) the deceleration (iii) |PQ|, the distance from to P Q (iv) the speed of the car when it is 72 m from Q. 2010 OL A car travels a straight level road. It passes a point at a speed of 12 m s-1 and accelerates uniformly for 6 seconds to a speed of 30 m s-1. P It then travels at a constant speed of 30 m s-1 for 15 seconds. Finally the car decelerates uniformly from 30 m s-1 to rest at a point Q. The car travels 45 metres while decelerating. Find the acceleration the deceleration the distance from P to Q average speed of the car as it travels from P to Q 2006 OL A car travels along a straight level road. It passes a point at a speed of 10 m/s and accelerates uniformly for 5 seconds to a speed of 30 m/s. p
deceleration = tan β = 30/6 = 5 m s-2 = 5(10) + ½ (5)(20) + (9)(30) + ½ (6)(30) = 50 + 50 + 270 + 90 = 460 m speed = total distance/total time = 460/20 = 23 m s-1 2005 OL A particle travels from p to q in a straight line. It starts from rest at p and accelerates uniformly to its maximum speed of 20 m/s in 10 seconds. The particle maintains this speed of 20 m/s for 15 seconds before decelerating uniformly to rest at q in a further 20 seconds. Draw a speed-time graph of the motion of the particle from p to q. Find the uniform acceleration of the particle. the uniform deceleration of the particle. pq, the distance from p to q. Find the average speed of the particle as it moves from p to q, giving your answer in the form a/b where a, b ∈ N. 2012 OL A car travels along a straight level road. It passes a P with a speed of 8 m s−1 and accelerates uniformly for 12 seconds to a speed of 32 m s−1. It then travels at a constant speed of 32 m s−1 for 7 seconds. Finally the car decelerates uniformly from 32 m s−1 to rest at a point Q. The car travels 128 metres while decelerating. Find (i) the acceleration (ii) the deceleration (iii) |PQ|, the distance from P to Q (iv) the speed of the car when it is 72 m from Q. 2010 OL A car travels a straight level road. It passes a point P at a speed of 12 m s-1 and accelerates uniformly for 6 seconds to a speed of 30 m s-1. It then travels at a constant speed of 30 m s-1 for 15 seconds. Finally the car decelerates uniformly from 30 m s-1 to rest at a point Q. The car travels 45 metres while decelerating. Find the acceleration the deceleration the distance from P to Q average speed of the car as it travels from P to Q 2006 OL A car travels along a straight level road. It passes a point p at a speed of 10 m/s and accelerates uniformly for 5 seconds to a speed of 30 m/s.
1.%20Linear%20Acceleration.docx