Answer number 3 1. What is the magnitude and direction of the resultant if we add the following displacements by the componentmethod? 10 ft directed 45º northeast, 12.0ft directed south, and 20.0 ft directed 45º South of West.2. Find the dot product of two vectors A=4i+3j and B =5i-2j.3. A sailor in a small boat encounters shifting winds. She sails 2km east, then 3.5km southeast, then anadditional distance in an unknown direction. Her final position is 5.8km directly east of the starting point. Findthe Magnitude and direction of the third leg of the Journey4. Suppose the velocity(v) of a car at any time(t) is given by the equation 60m/s + (0.5m/Derive the expression for the instantaneous acceleration at any given time and find the instantaneousacceleration at t=3s.5. An airplane taking off from a landing field has a run of 500m. If it starts from rest, moves with constantacceleration and makes the run in 30 sec, with what velocity in m/s did it take off?6. A body moving with constant acceleration covers the distance between two points 60m apart in 6 sec. Itsvelocity as it passes the second point is 15m/sec. What is the acceleration? (*7. A batted baseball leaves the bat at an angle of 30° above the horizontal, and is caught by an outfielder 400ftfrom the plate. What is the initial velocity of the ball?8. An elevator with mass 2000kg rises with an acceleration of 1m/s³. What is the tension in the supporting cable?

3. A sailor in a small boat encounters shifting winds. She sails 2km east, then 3.5km southeast, then an additional distance in an unknown direction. Her final position is 5.8km directly east of the starting point. Find the Magnitude and direction of the third leg of the Journey

3. A sailor in a small boat encounters shifting winds. She sails 2km east, then 3.5km southeast, then an additional distance in an unknown direction. Her final position is 5.8km directly east of the starting point. Find the Magnitude and direction of the third leg of the Journey

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...

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Question

Answer number 3

1. What is the magnitude and direction of the resultant if we add the following displacements by the component
method? 10 ft directed 45º northeast, 12.0ft directed south, and 20.0 ft directed 45º South of West.
2. Find the dot product of two vectors A=4i+3j and B =5i-2j.
3. A sailor in a small boat encounters shifting winds. She sails 2km east, then 3.5km southeast, then an
additional distance in an unknown direction. Her final position is 5.8km directly east of the starting point. Find
the Magnitude and direction of the third leg of the Journey
4. Suppose the velocity(v) of a car at any time(t) is given by the equation 60m/s + (0.5m/
Derive the expression for the instantaneous acceleration at any given time and find the instantaneous
acceleration at t=3s.
5. An airplane taking off from a landing field has a run of 500m. If it starts from rest, moves with constant
acceleration and makes the run in 30 sec, with what velocity in m/s did it take off?
6. A body moving with constant acceleration covers the distance between two points 60m apart in 6 sec. Its
velocity as it passes the second point is 15m/sec. What is the acceleration? (*
7. A batted baseball leaves the bat at an angle of 30° above the horizontal, and is caught by an outfielder 400ft
from the plate. What is the initial velocity of the ball?
8. An elevator with mass 2000kg rises with an acceleration of 1m/s³. What is the tension in the supporting cable?

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Answer number 5
1. What is the magnitude and direction of the resultant if we add the following displacements by the component method? 10 ft directed 45° northeast, 12.0ft directed south, and 20.0 ft directed 45° South of West. 2. Find the dot product of two vectors A=4i+3j and B =5i-2j.
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