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 = ar² + bt +c, where a, b and c are constants. The car passes Pat time t = 0 with velocity 8 ms¯1. (a) State the value of c. The car passes Q at time t= 5 and at that instant its deceleration is 0.12 ms. 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.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
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Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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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 ms¯². 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.
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 ms¯². 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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