a) 2 horizontal lines B1 Joined by straight line sloping down B1 25, 10, 18, 30 oe B1 b) M1A1A1 Solving to: = 11 V DM1 A1 c) so 11 = 25 8a ft their M1 A1ft = u + V “v at” – = 1.75 (ms-2) A1 a 8) A firework rocket starts from rest at ground level and moves vertically. In the first 6s of its motion, the rocket rises 29m. The rocket is modelled as a particle moving with constant acceleration Find ams–2. a) the value of a, [2] b) the speed of the rocket 6s after it has left the ground [2] After 6s, the rocket burns out. The motion of the rocket is now modelled as that of a particlemoving freely under gravity c) Find the height of the rocket above the ground 9s after it has left the ground [4] 9) A racing car moves along a straight horizontal road with constant acceleration. It passes the point O with speed 12 m/s. It passes the point A 5s later with speed 58 m/s a) Find the acceleration of thecar [2] b) Find the distance OA [3] The point B is the midpoint of AO c) Find the speed of the car when it passes point B [3] 10) A firework rocket starts from rest at ground level and moves vertically. In the first 3 s of its motion, the rocket rises 27 m. The rocket is modelled as a particle moving with constant acceleration m s–2. Find a a) the value of [2] a, b) the speed of the rocket 3 s after it has left the ground. [2]
a) 2 horizontal lines B1 Joined by straight line sloping down B1 25, 10, 18, 30 oe B1 b) Solving to: V = 11 M1A1A1 DM1 A1 c) “v = u + at” so 11 = 25 – 8a ft their V a = 1.75 (ms-2) M1 A1ft A1 8) A firework rocket starts from rest at ground level and moves vertically. In the first 6s of its motion, the rocket rises 29m. The rocket is modelled as a particle moving with constant acceleration ams–2. Find a) the value of a, [2] b) the speed of the rocket 6s after it has left the ground [2] After 6s, the rocket burns out. The motion of the rocket is now modelled as that of a particlemoving freely under gravity c) Find the height of the rocket above the ground 9s after it has left the ground [4] 9) A racing car moves along a straight horizontal road with constant acceleration. It passes the point O with speed 12 m/s. It passes the point A 5s later with speed 58 m/s a) Find the acceleration of thecar [2] b) Find the distance OA [3] The point B is the midpoint of AO c) Find the speed of the car when it passes point B [3] 10) A firework rocket starts from rest at ground level and moves vertically. In the first 3 s of its motion, the rocket rises 27 m. The rocket is modelled as a particle moving with constant acceleration a m s–2. Find a) the value of a, [2] b) the speed of the rocket 3 s after it has left the ground. [2]