Question

In: Physics

The x and y coordinates of a particle in motion as functionsof time t, are given...

The x and y coordinates of a particle in motion as functionsof time t, are given by:

x=5t^2-5t+6 y=3t^3-3t^2-12t-4

At the instant the x-component of velocity is equal to zero,the y component of the acceleration is closest to:

A. 12

B. -24

C. -15

D. -1.5

E. 3.0

Expert Solution

The position of the particle as a function of time is

So, the velocity of the particle as a function of time is

And the acceleration of the particle as a function of time is

The x component of velocity is

X-component of velocity will be zero at

or, .

The y-component of acceleration is

At t=0.5 second, the y-component of the acceleration of the particle is

genius_generous answered 7 months ago

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