2. The graph shows the x-velocity as a function of time of a carton a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? b. What is the furthest distance the cart travels from its starting point? c. What is the x-acceleration of the cart while it is being brought to a stop? d. What is the x-acceleration while the cart it is going up and down the ramp without you touching it? e. Make rough graphs of the x and avs. time for the motion. You don't have to get everything precisely but make sure portions that are curved are curved, portions that are straight are straight, and portions that are flat are flat. Include numbers on the vertical axes to set the scale.
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. Area under v-t graph (distance covered) =0.15m
b.maximum distance covered by cart= 0.9m
c. x-acceleration= m/s^2
solve only d and e
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