A car is travelling on a straight horizontal road. The velocity of the car, vms, at time t seconds as it travels past three points, P. Q and R, is modelled by the equation v = at° +bt+c, where a, b and c are constants. The car passes P at time t 0 with velocity 8 ms. (a) State the value of c. The car passes Q at time t 5 and at that instant its deceleration is 0.12 ms 2. The car passes R at time t = 18 with velocity 2.96 ms (b) Detemine the values of a and b. (c) Find, to the nearest metre, the distance between points P and R.
A car is travelling on a straight horizontal road. The velocity of the car, vms, at time t seconds as it travels past three points, P. Q and R, is modelled by the equation v = at° +bt+c, where a, b and c are constants. The car passes P at time t 0 with velocity 8 ms. (a) State the value of c. The car passes Q at time t 5 and at that instant its deceleration is 0.12 ms 2. The car passes R at time t = 18 with velocity 2.96 ms (b) Detemine the values of a and b. (c) Find, to the nearest metre, the distance between points P and R.
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Transcribed Image Text:A car is travelling on a straight horizontal road. The velocity of the car, vms, at time t seconds as
it travels past three points, P. Q and R, is modelled by the equation
v = at² +bt +c,
where a, b and c are constants.
The car passes P at time t= 0 with velocity 8 ms.
(a) State the value of c.
The car passes Q at time t 5 and at that instant its deceleration is 0.12 ms2. The car passes R at
time t= 18 with velocity 2.96 ms.
(b) Determine the values of a and b.
(c) Find, to the nearest metre, the distance between points P and R.
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