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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:
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$.