Mathematics > QUESTION PAPER & MARK SCHEME > Pearson Edexcel Level 3 GCE.. VVMathematics Advanced Subsidiary PAPER 22: Mechanics. GRADED A+ DOWN (All)
1. At time t = 0, a small stone is thrown vertically upwards with speed 14.7 ms−1 from a point A. At time t = T seconds, the stone passes through A, moving downwards. The stone is modelled as a pa... rticle moving freely under gravity throughout its motion. Using the model, (a) find the value of T, (2) (b) find the total distance travelled by the stone in the first 4 seconds of its motion. (4) (c) State one refinement that could be made to the model, apart from air resistance, that would make the model more realistic. 2. A particle P moves along a straight line. At time t seconds, the velocity vms−1 of P is modelled as v = 10t − t 2 − k t 0 where k is a constant. (a) Find the acceleration of P at time t seconds. (2) The particle P is instantaneously at rest when t = 6 (b) Find the other value of t when P is instantaneously at rest. (4) (c) Find the total distance travelled by P in the interval 0 t 6 (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _______________________________________________________________ [Show More]
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