A jeepney and a tricycle start from rest at the same instant, with the jeepney initially at some distance behind the tricycle. The jeepney overtakes the tricycle after the tricycle has travelled 125 m. If the jeepney has a constant acceleration of 3.5 m/s2 and the tricycle has an acceleration of 3.0 m/s2, (a) What is the time it took for the jeepney to overtake the tricycle? (b) How far was the jeepney behind the tricycle initially? (c) What is the velocity of the tricycle when they are abreast? (d) If the tricycle decelerates at 2.5 m/s2 after the jeepney overtakes it, calculate the total distance travelled by the tricycle.
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.
A jeepney and a tricycle start from rest at the same instant, with the jeepney initially at some distance behind the tricycle. The jeepney overtakes the tricycle after the tricycle has travelled 125 m. If the jeepney has a constant acceleration of 3.5 m/s2 and the tricycle has an acceleration of 3.0 m/s2,
(a) What is the time it took for the jeepney to overtake the tricycle?
(b) How far was the jeepney behind the tricycle initially?
(c) What is the velocity of the tricycle when they are abreast?
(d) If the tricycle decelerates at 2.5 m/s2 after the jeepney overtakes it, calculate the total distance travelled by the tricycle.
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