Chapter 10: Further Mechanics 2: Dynamics

A-level Further MathsFurther Mechanics 1 & 25 topicsHigher

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Further Mechanics 2: Dynamics: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FM10-1 Find the required result for Further Mechanics 2: Dynamics. Given A particle of mass 2 kg falls through a medium with resistance 0.4v N. It is released from rest. Use form and solve m dv/dt = mg - kv. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

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8 marksshow thathardEdexcel

FM10-2 Show that terminal velocity is 2g/0.4 = 49

m\,s^{-1}

for Further Mechanics 2: Dynamics. Start from A particle of mass 2 kg falls through a medium with resistance 0.4v N. It is released from rest. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FM10-3 Determine the requested value in this structured Further Mechanics 2: Dynamics problem: find v(t) and the time to reach 30

m\,s^{-1}

. Use the same data: A particle of mass 2 kg falls through a medium with resistance 0.4v N. It is released from rest. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FM10-4 Hence use the result terminal velocity is 2g/0.4 = 49

m\,s^{-1}

to complete the extension for Further Mechanics 2: Dynamics: find v(t) and the time to reach 30

m\,s^{-1}

. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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9. Further Mechanics 2: Kinematics

End of Further Mechanics 1 & 2

Key learning objectives

Understand the key principles behind Further Mechanics 2: Dynamics.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.