Bite Size Practice Additional Mathematics #22 (Kinematics)
Download our bite sized Add Math practices for Kinematics here. The questions are prepared by us and we have included answers with as much information to understand the question. The best version answer available, we are here to help you all to get those A1’s in you GCE O level Add Math. Questions from local school prelim papers are prepared by us to help our students to practice by themselves and if they need help, we can go through the questions with them. But usually, you should be able to do the questions with the answers provided.
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Right, down to the first question we have for Add Math Kinematics. The question starts off at velocity, so it will have an integration to get displacement and a differentiation to get acceleration. It goes on to give all the necessary information to do all of the above.
This A Math Kinematics question is quite straight forward and tests students ability to integrate/differentiate, with its application to distance travelled, velocity and acceleration of the particle. The first question of this Add Math Kinematics question is to find the particle to be instantaneously at rest, which means its velocity is zero. So substitute v=0 into the velocity equation.
Second part of this Add Math Kinematics equations looks for the minimum velocity of the particle. Looking at the answers we have provided, you can see the minimum of the velocity graph occurs when the gradient is zero, or its acceleration is zero. To do that, differentiate velocity to find acceleration and equate acceleration to zero to find the time it is a minimum. Once you know that time, take that answer to find the velocity at that particular moment.
The last part to this Additional Mathematics question requires the ability to identify turning points and its displacements. Once you know the behaviour of the particle, the way it moves and where it changes direction, you can start finding out the distance it travelled. Add all the distances up and divided by the total time taken to find its average speed. Quite easily done, and have a look at the graphs provided by us to visualise what the particle is doing. Have it stacked on top of the theory part of your learning and you should be able to see how the algebraic manipulation can be visualised on the graph. That will help you to see how the particle moves. It should be natural and instinctual when you do this sum to be able to score A1 in the GCE O levels.