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# AS Maths Mechanics Constant Acceleration watch

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1. A cyclist is descending down a mountain with constant acceleration. She passes through three checkpoints, P, Q and R, with velocity 6 m s−1, x m s−1, and 20 m s−1 repsectively. The time to taken to travel from P to R is 35 s.
A - Find the acceleration of the cyclist
Given that t1/t2 = 4/3, where t1 is the time taken to travel from P to Q and t2 is the time taken to travel from Q to R.
b - Find the value of x.
c - Find the distance between P and R.
2. For A, set up a SUVAT and solve for a.

For B, find an expression for T(1):T(2). Then, set up two simultaneous SUVATs. Solve for x.

For C, set up a SUVAT using all evidence you have so far, and solve for s.

Spoiler:
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A: 0.4ms-2
B: 14ms-1
C: 455m

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Updated: March 11, 2018
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