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 Pat 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.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Hi, I've submitted this question 4 times now and have gotten 4 different results for part b and c.
My answer for part b was - a = -0.02 and b = 0.08
Is that correct?
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