A Level Maths Mechanics Year 1 Chapter 11: Mini test

Starting at v

• Differentiate to find x (or "s")
• Integrate to find a
• Integrate to find x (or "s")
• Differentiate to find a

x=2t+5. At t=0

• the particle has travelled 5m
• the particle is 5m away and travelling TOWARDS the origin
• the particle is 5m away and travelling AWAY from the origin
• the particle always starts at the origin

v=t²-2t+5

• always travelks faster than 5m/s
• accelerates then decelerates
• always travels slower than 5m/s
• turns around at t=1

x (or "s") is a positive cubic as shown

• the particle will stop twice
• the particle will stop three times
• the particle will pass the origin three times
• the particle will always move forwards

a is a negative quadratic

• the particle turns around at t=2
• the particle is accelerating t<2, decelerating t>2
• the particle is accelerating between 1<t<2
• the rate of change in acceleration decreases when t>2