A particle is moving from the origin with acceleration: a=(26-12t)ms^-2 At t=4 seconds the particle has a velocity of 12?/?. Find an expression for the velocity at time t seconds and the velocity when acceleration is zero.

A particle is moving from the origin with acceleration: a=(26-12t)ms^-2 At t=4 seconds the particle has a velocity of 12?/?. Find an expression for the velocity at time t seconds and the velocity when acceleration is zero.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A particle is moving from the origin with acceleration:

a=(26-12t)ms^-2
At t=4 seconds the particle has a velocity of 12?/?.
Find an expression for the velocity at time t seconds and the velocity
when acceleration is zero.

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