Download Two-Dimensional Motion and Vectors

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Two-Dimensional Motion and Vectors
Problem B
RESOLVING VECTORS PROBLEMS
1.A common flea can jump a distance of 33 cm. Suppose a flea makes five jumps of this
length in the northwest direction. If the flea’s northward displacement is 88 cm, what is
the flea’s westward displacement?
2.Suppose an iguana runs in a straight line at 10.0 m/s for 5.00 s. The direction of motion
makes an angle of 30.0 to the east of north. Find the value of the iguana’s northward
displacement.
3.The longest snake ever found was a python that was 10.0 m long. Suppose this snake’s
tail is placed at the origin and the snake’s body is stretched so that it makes an angle of
60.0 with the positive x-axis. Find the x and y coordinates of the snake’s head.
4.Suppose a frog starts from the origin of a coordinate system and triple jumps a distance of
10.3 m and lands at a point whose coordinate on the y-axis is equal to 6.10 m. What
angle does the vector of displacement make with the negative y-axis? Calculate the x
component of the frog.
5.A grasshopper can jump 4.5 m. Suppose this grasshopper starts at the origin of a
coordinate system and makes exactly eight jumps in a straight line that makes an angle
of 35 with the positive x-axis. Find the grasshopper’s displacements along the x- and yaxes. Assume both component displacements to be positive.
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics
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Problem Workbook
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6.The landing speed of the space shuttle Columbia is 347 km/h. If the shuttle is landing at
an angle of 15.0 with respect to the horizontal, what are the horizontal and the vertical
components of its velocity?
7.In Virginia during 1994 Elmer Trett reached a speed of 372 km/h on his motorcycle.
Suppose Trett rode northwest at this speed for 8.7 s. If the angle between east and the
direction of Trett’s ride was 60.0, what was Trett’s displacement east? What was his
displacement north?
8.The distance from an observer on the plain to the top of a nearby mountain is 5.3 km, and
the angle between this line and the horizontal is 8.4°. How tall is the mountain?
9.A bowling ball is released at the near right corner of a bowling lane and travels 19.1 m at
an angle of 3.0° with respect to the lane’s length. The ball reaches the far left corner of
the lane, where it knocks over the “7” pin. What is the width of the lane?
10. A skyrocket travels 113 m at an angle of 82.4° with respect to the ground and toward the
south. What is the rocket’s horizontal displacement?
11. A hot-air balloon descends with a velocity of 55 km/h at an angle of 37° below the
horizontal. What is the vertical velocity of the balloon?
12. A billiard ball travels 2.7 m at an angle of 13° with respect to the long side of the table.
What are the components of the ball’s displacement?
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics
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Problem Workbook
NAME ____________________________ DATE ________________ CLASS __________________
13. One hole at a certain miniature golf course extends for about 60 m. A golf ball on this
hole travels with a velocity of 1.20 m/s at 14.0° east of north. What are the eastern and
northern components of the ball’s velocity?
14. Barnard’s Star is the closest star to Earth after the sun and the triple star Alpha Centauri.
Barnard’s Star has a velocity of 165.2 km/s at an angle of 32.7° away from its forward
motion. What are the forward and side components of this velocity?
15. A tiger leaps with an initial velocity of 55.0 km/h at an angle of 13.0° with respect to the
horizontal. What are the components of the tiger’s velocity?
Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor.
Holt Physics
19
Problem Workbook