1. You are playing hockey with the puck stationary on the ice at your feet. Your teammate, Alice, initially at rest, makes a break for the goal. When she starts to move, you pass Alice the puck so that it moves with constant velocity to reach her 3 seconds later and she scores! After the game, you start to wonder how fast you passed the puck to reach her at the right time to score. You estimate her acceleration was a = 1.5 m/s² at an angle of 04 = 70° with respect to the x-axis, and her initial position is FAO = (-10, 0, -2) (m). The coordinate system is shown below from the viewpoint of looking down on the rink. 2 puck (a) Write down the Alice's acceleration as a vector. I (b) Use the constant acceleration equations to calculate Alice's position, TA (t), and velocity, VA(t), at t = 3 s (when she recieves the puck). (c) Calculate the components of the velocity of the puck needed to reach Alice at t = 3 s.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter4: The Laws Of Motion
Section: Chapter Questions
Problem 1WUE: Physics Review A hockey player strikes a puck, giving it an initial velocity of 10.0 m/s in the...
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1. You are playing hockey with the puck stationary on the ice at your feet. Your teammate,
Alice, initially at rest, makes a break for the goal. When she starts to move, you pass Alice
the puck so that it moves with constant velocity to reach her 3 seconds later and she scores!
After the game, you start to wonder how fast you passed the puck to reach her at the right
time to score. You estimate her acceleration was a = 1.5 m/s² at an angle of A = 70° with
respect to the x-axis, and her initial position is TAO = (-10, 0, -2) (m).
The coordinate system is shown below from the viewpoint of looking down on the rink.
puck
(a) Write down the Alice's acceleration as a vector.
I
(b) Use the constant acceleration equations to calculate Alice's position, TA (t), and velocity,
VA(t), at t = 3 s (when she recieves the puck).
(c) Calculate the components of the velocity of the puck needed to reach Alice at t = 3 s.
Transcribed Image Text:1. You are playing hockey with the puck stationary on the ice at your feet. Your teammate, Alice, initially at rest, makes a break for the goal. When she starts to move, you pass Alice the puck so that it moves with constant velocity to reach her 3 seconds later and she scores! After the game, you start to wonder how fast you passed the puck to reach her at the right time to score. You estimate her acceleration was a = 1.5 m/s² at an angle of A = 70° with respect to the x-axis, and her initial position is TAO = (-10, 0, -2) (m). The coordinate system is shown below from the viewpoint of looking down on the rink. puck (a) Write down the Alice's acceleration as a vector. I (b) Use the constant acceleration equations to calculate Alice's position, TA (t), and velocity, VA(t), at t = 3 s (when she recieves the puck). (c) Calculate the components of the velocity of the puck needed to reach Alice at t = 3 s.
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