# Is the velocity of the particle constant or changing?

Not what you're looking for? Search our solutions OR ask your own Custom question.

The position of a particle moving on an x axis is given by: x=7.8 + 9.2t - 2.1t^3 with x in meters and t in seconds. What is its velocity at t=3.5s? Is velocity constant or changing?

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:10 pm ad1c9bdddfhttps://brainmass.com/physics/velocity/velocity-particle-constant-changing-5238

#### Solution Preview

Velocity = rate of change in displacement/change in time

v = dx/dt which is the derivative of 'x' with respect to 't'

= d(7.8+9.2t-2.1t^3)/dt

= d(7.8)/dt + d(9.2t)/dt - d(2.1t^3)/dt

since d(a+b+c)/dt = ...

#### Solution Summary

This solution provides step by step calculations for finding the velocity based on the derivative of 'x' with respect to 't'.

$2.49