1. A cannonball is fired from a cannon and follows a parabolic path as a projectile. Is there any point along its path where the velocity and acceleration vectors are perpendicular to each other? Is there any point along its path where the velocity and acceleration vector are parallel to each other? Explain. 2. If the average velocity of an object over a given time interval is zero, what can be said about the distance travelled by the object during that time interval? Explain. 3. After walhing 18 hm [N 35° E1, you find yourself 6 hm [N 50° W] of a barn. Where were you relative to the barn before you began your walh ?

College Physics
11th Edition
ISBN:9781305952300
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A cannonball is fired from a cannon and follows a parabolic path as a projectile. Is there
any point along its path where the velocity and acceleration vectors are perpendicular
to each other? Is there any point along its path where the velocity and acceleration
vector are parallel to each other? Explain.
2. If the average velocity of an object over a given time interval is zero, what can be said
about the distance travelled by the object during that time interval? Explain.
3. After walking 18 km [N 35° E], you find yourself 6 km [N 50° W] of a barn. Where
were you relative to the barn before you began your walk?
4. The navigator of an airplane plans a flight from one airport to another airport that is at
a location of 850 km [S 52º E] of the first airport. The weather office informs him of
a prevailing wind blowing to the east at 60 hm/h. The pilot wants to maintain an
airspeed of 300 kmih. What heading should the navigator give the pilot? How long will
the Aight take?
5. A bomber that is diving at an angle of 40° to the horizontal releases a bomb at an
altitude of 700 m. The bomb hits the target on the ground 5 s after being released.
a. What was the velocity of the bomber when it dropped the bomb?
b. How far (horizontally) in front of the point of release was the target?
6. A car drives north on a highway at 40 km/h and then turns þack and drives south
bach to the starting point at 60 km/h. What is the average speed of the car?
7. A train travelling on level ground has a horizontal speed of 25 km/h. Raindrops falling
against its side windows make traces inclined at 30° to the vertical. Ignore air
turbulence and assume there is no wind blowing.
a. What is the velocity of a raindrop with respect to the Earth?
b. What is the velocity of a raindrop with respect to the train?
Transcribed Image Text:1. A cannonball is fired from a cannon and follows a parabolic path as a projectile. Is there any point along its path where the velocity and acceleration vectors are perpendicular to each other? Is there any point along its path where the velocity and acceleration vector are parallel to each other? Explain. 2. If the average velocity of an object over a given time interval is zero, what can be said about the distance travelled by the object during that time interval? Explain. 3. After walking 18 km [N 35° E], you find yourself 6 km [N 50° W] of a barn. Where were you relative to the barn before you began your walk? 4. The navigator of an airplane plans a flight from one airport to another airport that is at a location of 850 km [S 52º E] of the first airport. The weather office informs him of a prevailing wind blowing to the east at 60 hm/h. The pilot wants to maintain an airspeed of 300 kmih. What heading should the navigator give the pilot? How long will the Aight take? 5. A bomber that is diving at an angle of 40° to the horizontal releases a bomb at an altitude of 700 m. The bomb hits the target on the ground 5 s after being released. a. What was the velocity of the bomber when it dropped the bomb? b. How far (horizontally) in front of the point of release was the target? 6. A car drives north on a highway at 40 km/h and then turns þack and drives south bach to the starting point at 60 km/h. What is the average speed of the car? 7. A train travelling on level ground has a horizontal speed of 25 km/h. Raindrops falling against its side windows make traces inclined at 30° to the vertical. Ignore air turbulence and assume there is no wind blowing. a. What is the velocity of a raindrop with respect to the Earth? b. What is the velocity of a raindrop with respect to the train?
8. Given the velocity-time graph below, draw the corresponding acceleration-time
position-time graphs on the axes provided. The object starts from an initial position of
-2 M.
d (m) 10
8.
4
2
t (s)
-2
-4
-6
-8
-10
1
2
3
5
6
7
8
9.
10
v (m/s) 10
8
4
2
t (s)
-2
-4
-6
-8
-10
1
2
4
6
7
8
10
a (m/s*) 10
8
4
2
t (s)
-2
-4
-6
-8
-10
1
2
3
4
7
10
0o
3.
Transcribed Image Text:8. Given the velocity-time graph below, draw the corresponding acceleration-time position-time graphs on the axes provided. The object starts from an initial position of -2 M. d (m) 10 8. 4 2 t (s) -2 -4 -6 -8 -10 1 2 3 5 6 7 8 9. 10 v (m/s) 10 8 4 2 t (s) -2 -4 -6 -8 -10 1 2 4 6 7 8 10 a (m/s*) 10 8 4 2 t (s) -2 -4 -6 -8 -10 1 2 3 4 7 10 0o 3.
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