A car starts from rest and moves in a straight line with constant acceleration $$\(a \mathrm{~m} \mathrm{~s}^{-2}\)$$ for a distance of $$\(50 \mathrm{~m}\)$$. The car then travels with constant velocity for $$\(500 \mathrm{~m}\)$$ for a period of $$\(25 \mathrm{~s}\)$$, before decelerating to rest. The magnitude of this deceleration is $$\(2 a \mathrm{~m} \mathrm{~s}^{-2}\)$$. Sketch the velocity-time graph for the motion of the car. ....................................................................................................................................................... ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_s20_qp_43 Year:2020 Question No:4(a)
Answer:
Trapezium shape with gradient of right-hand side approximately 2 times left side
Knowledge points:
4.2.2.1 the area under a velocity–time graph represents displacement
4.2.2.2 the gradient of a displacement–time graph represents velocity
4.2.2.3 the gradient of a velocity–time graph represents acceleration
Solution:
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