• Now, let's do the numbers. Let's assume the person (me) can through a stone at 25% of a good baseball pitcher throwing a baseball, which would make it 11 m/s. Let's call the distance the stone has been thrown to be 25 yards, which makes it 23 meters. Solve for the average accel- eration experienced by the stone. How much is it? (State in m/s² AND in fractions of g) • and finally, which FORCE causes that acceleration? (or rather deceler- ation) Hint: NOT gravity, because gravity acts vertically, and we agreed that the x and y dimensions are independent, so a force that causes a change of state of motion in the HORIZONTAL direction cannot be grav- ity.

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Chapter3: Vectors
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Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
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• Now, let's do the numbers. Let's assume the person (me) can through
a stone at 25% of a good baseball pitcher throwing a baseball, which
would make it 11 m/s. Let's call the distance the stone has been thrown
to be 25 yards, which makes it 23 meters. Solve for the average accel-
eration experienced by the stone. How much is it? (State in m/s? AND in
fractions of g)
• and finally, which FORCE causes that acceleration? (or rather deceler-
ation) Hint: NOT gravity, because gravity acts vertically, and we agreed
that the x and y dimensions are independent, so a force that causes a
change of state of motion in the HORIZONTAL direction cannot be grav-
ity.
Transcribed Image Text:• Now, let's do the numbers. Let's assume the person (me) can through a stone at 25% of a good baseball pitcher throwing a baseball, which would make it 11 m/s. Let's call the distance the stone has been thrown to be 25 yards, which makes it 23 meters. Solve for the average accel- eration experienced by the stone. How much is it? (State in m/s? AND in fractions of g) • and finally, which FORCE causes that acceleration? (or rather deceler- ation) Hint: NOT gravity, because gravity acts vertically, and we agreed that the x and y dimensions are independent, so a force that causes a change of state of motion in the HORIZONTAL direction cannot be grav- ity.
• We learned the set of 1D-Kinematic equations that describe the Uni-
formly Accelerated Motion to be structured as "position as a function of
time", "velocity as a function of time", and acceleration = constant.
It is possible with some maths to make an equation WITHOUT time that re-
lates jsut the distance traveled, the uniform acceleration and the speed
at the beginning at the end.
This equation is:
2 ad = v – vố
(1)
where a is the said acceleration, d is the distance, and vo and vf are the
initial and the final speed respectively. For an alternative notation follow
the link: 1D-Kinematics The point of this homework is not to learn a new
equation, but to practice equation properties in a new format.
• State the units on the LHS and the RHS. Do they match up?
• As you see the person (me) throwing the stone how much is the FINAL
velocity? Restate the equation (1) with that information mind:
• If you did everything right then you end up with your RHS NEGATIVE (!).
That means that the LHS must also be negative. How can that be?
Which term (letter) is negative on the LHS?? Does that make sense?
Why or why not?
1
Transcribed Image Text:• We learned the set of 1D-Kinematic equations that describe the Uni- formly Accelerated Motion to be structured as "position as a function of time", "velocity as a function of time", and acceleration = constant. It is possible with some maths to make an equation WITHOUT time that re- lates jsut the distance traveled, the uniform acceleration and the speed at the beginning at the end. This equation is: 2 ad = v – vố (1) where a is the said acceleration, d is the distance, and vo and vf are the initial and the final speed respectively. For an alternative notation follow the link: 1D-Kinematics The point of this homework is not to learn a new equation, but to practice equation properties in a new format. • State the units on the LHS and the RHS. Do they match up? • As you see the person (me) throwing the stone how much is the FINAL velocity? Restate the equation (1) with that information mind: • If you did everything right then you end up with your RHS NEGATIVE (!). That means that the LHS must also be negative. How can that be? Which term (letter) is negative on the LHS?? Does that make sense? Why or why not? 1
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