(i) Sketch the velocity-time graph for P's motion. The displacement of P from O, at timet seconds after P leaves O, is s metres. (ii) Shade the region of the velocity-time graph representing s for a value of t where 20 sts 26.
(i) Sketch the velocity-time graph for P's motion. The displacement of P from O, at timet seconds after P leaves O, is s metres. (ii) Shade the region of the velocity-time graph representing s for a value of t where 20 sts 26.
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Transcribed Image Text:8. A particle P moves in a straight line. It starts from rest at a point O and moves towards a point A on the line.
During the first 8 seconds P's speed increases to 8 ms-1 with constant acceleration. During the next 12 seconds
P's speed decreases to 2 ms-1 with constant deceleration. P then moves with constant acceleration for 6 seconds,
reaching A with speed 6.5 ms-1.
(i)
Sketch the velocity-time graph for P's motion.
The displacement of P from O, at time t seconds after P leaves O, is s metres.
(ii)
Shade the region of the velocity-time graph representing s for a value of t where 20 <ts 26.
(iii) Show that, for 20 <t < 26,
s = 0.375t? – 13t + 202.
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