v (m s-') t (s) 10 A particle P starts from rest at the point A and travels in a straight line, coming to rest again after 10s. The velocity-time graph for P consists of two straight line segments (see diagram). A particle Q starts from rest at A at the same instant as P and travels along the same straight line as P. The velocity of Q is given by v = 6t – 0.6t? for 0 sts 10. The displacements from A of P and Q are the same when t = 10. (i) Show that the greatest velocity of P during its motion is 20 ms-1 (ii) Find the value of t, in the interval 0

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Chapter1: Units, Trigonometry. And Vectors
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1.
v (m s-')
+ (s)
10
A particle P starts from rest at the point A and travels in a straight line, coming to rest again after 10s. The
velocity-time graph for P consists of two straight line segments (see diagram). A particle Q starts from rest at A
at the same instant as P and travels along the same straight line as P. The velocity of Q is given by v = 6t – 0.6t2
for 0 <t< 10. The displacements from A of P and Q are the same when t = 10.
(i)
Show that the greatest velocity of P during its motion is 20 ms-1
(ii) Find the value of t, in the interval 0 <t< 5, for which the acceleration of Q is the same as the
acceleration of P.
Transcribed Image Text:1. v (m s-') + (s) 10 A particle P starts from rest at the point A and travels in a straight line, coming to rest again after 10s. The velocity-time graph for P consists of two straight line segments (see diagram). A particle Q starts from rest at A at the same instant as P and travels along the same straight line as P. The velocity of Q is given by v = 6t – 0.6t2 for 0 <t< 10. The displacements from A of P and Q are the same when t = 10. (i) Show that the greatest velocity of P during its motion is 20 ms-1 (ii) Find the value of t, in the interval 0 <t< 5, for which the acceleration of Q is the same as the acceleration of P.
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