Problem 1 The velocity of a particle moving along the x axis varies in time according to the expression v = (40 – 50 t2 ) m/s where t is in seconds. Find the instantaneous velocity in km/h at t=0 and t = 2 s. Find the average acceleration in the time interval t = 0 and t = 2 s. Find the instantaneous acceleration in m/s2 at t = 2 s. Draw the velocity-time graph for the particle and show the instantaneous acceleration at t=2s on this graph. Could you kindly answer the points and explain it to me?
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.
Problem 1
The velocity of a particle moving along the x axis varies in time according to the expression v = (40 – 50 t2 ) m/s where t is in seconds.
- Find the instantaneous velocity in km/h at t=0 and t = 2 s.
- Find the average acceleration in the time interval t = 0 and t = 2 s.
- Find the instantaneous acceleration in m/s2 at t = 2 s.
- Draw the velocity-time graph for the particle and show the instantaneous acceleration at t=2s on this graph.
Could you kindly answer the points and explain it to me?
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