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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.

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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.

To solve the question, you will need to know the velocity of the object as well as the Kinematics equations.

Consider the following graphs, which show the relationship between the speeds and the time taken by hockey pucks. The kinematics relationship can be used to calculate the acceleration of the pucks. Apply the values to the equation, and you will calculate the acceleration.

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 HTML3$ HTML3_ 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 .

Substitute instead of and instead of in equation . This will calculate .

The equation of magnitude acceleration is:

Here, is the -component of the acceleration, and is the -component of the acceleration.

Substitute HTML30$ to or to .

Ans:

Magnitude of acceleration at is @mediaTag36$.