CAIE M1 2018 June — Question 5

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2018
SessionJune
TopicSUVAT & Travel Graphs

5 A sprinter runs a race of 200 m . His total time for running the race is 20 s . He starts from rest and accelerates uniformly for 6 s , reaching a speed of \(12 \mathrm {~ms} ^ { - 1 }\). He maintains this speed for the next 10 s , before decelerating uniformly to cross the finishing line with speed \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Find the distance travelled by the sprinter in the first 16 s of the race. Hence sketch a displacementtime graph for the 20 s of the sprinter's race.
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  2. Find the value of \(V\).