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 particle moving freely u
...
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 particle 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)
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