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itially at rest, makes a break for the goal. When she starts to move, you pass A so that it moves with constant velocity to reach her 3 seconds later and she sco game, you start to wonder how fast you passed the puck to reach her at the ri score. You estimate her acceleration was a = 1.5 m/s² at an angle of 0A = 70° w to the x-axis, and her initial position is FAO = (-10, 0, -2) (m). rdinate system is shown below from the viewpoint of looking down on the rink.

itially at rest, makes a break for the goal. When she starts to move, you pass A so that it moves with constant velocity to reach her 3 seconds later and she sco game, you start to wonder how fast you passed the puck to reach her at the ri score. You estimate her acceleration was a = 1.5 m/s² at an angle of 0A = 70° w to the x-axis, and her initial position is FAO = (-10, 0, -2) (m). rdinate system is shown below from the viewpoint of looking down on the rink.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Only Parts D and E please!

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 0A = 70° with respect to the x-axis, and her initial position is 40 = (-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, r(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. (d) Write down the speed and angle of the puck's velocity. (e) Sketch the the paths of Alice and the puck with reasonably accurate angles showing where Alice recieves the puck.
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 0A = 70° with respect to the x-axis, and her initial position is 40 = (-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, r(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. (d) Write down the speed and angle of the puck's velocity. (e) Sketch the the paths of Alice and the puck with reasonably accurate angles showing where Alice recieves the puck.
Expert Solution
Step 1

Given Data

  • The acceleration of the alice is:a=1.5 m/s
  • The angle is:θA=70°
  • The initial position of the alice is:r→AO=-10,0,-2m

To solve the D and E part, here we need to soolve all sub parts because they are interlinked with each other. So we solve all parts.

Nwo the x and z component of the acceleration is consider as,

ax=acosθAax=1.5cos70ax=0.513 m/s2

Nwo the z component of the acceleration is consider as,

az=asinθAaz=1.5sin70az=1.4095 m/s2az≅1.41 m/s2

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