A rocket-powered hockey puckmoves on a horizontal frictionless table. The figures shows graphsof vxand…

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Question “A rocket-powered hockey puckmoves on a horizontal frictionless table. The figures shows graphsof vxand…”

A rocket-powered hockey puck
moves on a horizontal frictionless table. The figures shows graphs
of vx and vy,
the x– and y-components of
the puck’s velocity. The puck starts at the origin.

Part
A

What is the magnitude of
the puck’s acceleration at t = 5 s?

Express
your answer to two significant figures and include the appropriate
units.

Answer

Velocity refers to the speed at which displacement changes. Acceleration refers to the speed at which velocity changes. These are all vector quantities.

You can express acceleration of an object as:

represents the acceleration, HTML2$ the velocity, and the time.

The equation of magnitude acceleration is:

Here,

is the

-component of the acceleration, and

is the

-component of the acceleration.

Describe the acceleration of the hockey stick in terms of velocity, time and acceleration.

The derivative of velocity is acceleration of the puck.

Substitute

for

, and

for

in the equation

to calculate the

.

To calculate

, substitute

with

and

with

.

The equation of magnitude acceleration is:

Here,

is the

-component of the acceleration, and

is the

-component of the acceleration.

Substitute HTMLmedia_tag_30$ to

or HTMLmedia_tag_32$ to

.

Ans:

Magnitude of acceleration at

is

.

Conclusion

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