Neglecting friction and air resistance, a car with an initial velocity of 43.1 km/h coasts up a hill and comes to stop at the hill's top. What must be the height of the hill (in meters)?
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.
Neglecting friction and air resistance, a car with an initial velocity of 43.1 km/h coasts up a hill and comes to stop at the hill's top. What must be the height of the hill (in meters)?
Hint: you do not need the car's mass to solve this problem, but if interested to solve the problem using kinetic and potential energies you can use a mass of 2000kg for the car.
Given data:
A car coasts up a hill
Initial velocity (u) = 43.1 km/h
Final velocity at hill's top (v) = 0
Required:
Height of the hill (h)
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