ImpulseAQA A-Level Further Maths: Mind map

Exam questions on Impulse

1. A ball of mass $0.4$ kg is moving in a straight line along smooth horizontal ground at $6$ m s⁻¹. It is struck by a bat, which exerts a constant force in the direction of motion for $0.05$ s. Immediately afterwards the ball is moving at $15$ m s⁻¹ in the same direction.
   The ball is struck again by the same force, acting for $0.08$ s on the ball moving at $6$ m s⁻¹. Find the speed of the ball afterwards.2 marks
2. A particle of mass $2$ kg moves in a straight line on a smooth horizontal surface. At time $t$ seconds, for $0\le t\le4$, a force of magnitude $F=6t^2$ newtons acts on it in the direction of motion. When $t=0$ the particle is moving at $3$ m s⁻¹.
   Find the speed of the particle when $t=2$.2 marks
3. A tennis ball of mass $0.06$ kg is travelling horizontally at $20$ m s⁻¹ when it is hit by a racket. The ball leaves the racket at $30$ m s⁻¹ in the opposite direction. The ball is in contact with the racket for $0.004$ s.
   Find the magnitude and direction of the impulse exerted by the racket on the ball.3 marks