An athlete participates in an interplanetary discus throw competition during an Olympiad that takes place on a planet where the acceleration due to gravity is 9.7 m/s2. He throws the discus with an initial velocity of 20 m/s at an angle of 60° from the vertical. Neglecting air resistance and the height of the discus at the point of release, what is the range of the discus?

A) 21 m B) 60 m C) 36 m D) 40 m E) 32 m A) 21 m B) 60 m C) 36 m D) 40 m E) 32 m

Exam 3: Vectors and Motion in Two Dimensions

You throw a rock horizontally off a cliff with a speed of 20 m/s and no significant air resistance. After 2.0 s, the magnitude of the velocity of the rock is closest to

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Question 21

Mary and Debra stand on a snow-covered roof. They both throw snowballs with the same initial speed, but in different directions. Mary throws her snowball downward, at 30° below the horizontal; Debra throws her snowball upward, at 30° above the horizontal. Which of the following statements are true about just before the snowballs reach the ground below? (There could be more than one correct choice.)

(Multiple Choice)

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Question 22

Vector $\vec { A }$ is along the +x-axis and vector $\overrightarrow { \mathbf { B } }$ is along the +y-axis. Which one of the following statements is correct with respect to these vectors?

(Multiple Choice)

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Question 23

An athlete participates in an interplanetary discus throw competition during an Olympiad that takes place on a planet where the acceleration due to gravity is 9.7 m/s². He throws the discus with an initial velocity of 20 m/s at an angle of 60° from the vertical. Neglecting air resistance and the height of the discus at the point of release, what is the range of the discus?

(Multiple Choice)

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Question 24

A vector in the xy-plane has an x component of -7.50 units. What must be the y component of this vector so that its magnitude is 10.0 units. (Note: There are two possible answers.)

(Short Answer)

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Question 25

A disk-shaped space station 125 m in diameter spins at a uniform rate about an axis through its center and perpendicular to the plane of the disk. If the acceleration of a point on the rim of the disk is to be equal to g, how long does it take for the station to make one revolution? Use g = 9.8 m/s².

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Question 26

A player hits a tennis ball into the air with an initial velocity of 32 m/s at 35° from the vertical. How fast is the ball moving at the highest point in its trajectory if air resistance is negligible?

(Short Answer)

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Question 27

A jet plane flying 600 m/s experiences an acceleration of 4.0 g when pulling out of the circular section of a dive. What is the radius of curvature of this section of the dive?

(Multiple Choice)

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Question 28

A child throws a ball with an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground. At what angle below the horizontal does the ball approach the ground?

(Multiple Choice)

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Question 29

You walk 53 m to the north, then you turn 60° to your right and walk another $45 \mathrm {~m} .$ Determine the direction of your displacement vector. Express your answer as an angle relative to east.

(Multiple Choice)

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Question 30

A plane flies directly from city A to city B, which are separated by 2300 mi. From A to B, the plane flies into a 65 mi/h headwind. On the return trip from B to A, the wind velocity is unchanged. The trip from B to A takes $65 \mathrm {~min}$ less than the trip from A to B. What is the airspeed (assumed constant) of the plane relative to the air (that is, the airspeed)?

(Multiple Choice)

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Question 31

The x component of vector $\vec { A }$ is 5.3 units, and its y component is -2.3 units. The angle that vector $\vec { A }$ makes with the +x-axis is closest to

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Question 32

A ball is thrown with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If we can neglect air resistance, what is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

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Question 33

A plane flying horizontally at a speed of 50 m/s and at an elevation of 160 m drops a package, and 2.0 s later it drops a second package. How far apart will the two packages land on the ground if air resistance is negligible?

(Multiple Choice)

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Question 34

A hockey puck slides off the edge of a platform with an initial velocity of 20 m/s horizontally. The height of the platform above the ground is 2.0 m. What is the magnitude of the velocity of the puck just before it touches the ground? You can neglect air resistance.

(Multiple Choice)

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Question 35

A girl throws a rock horizontally with a speed of 12 m/s from a bridge. It falls 2.28 s before hitting the water below. Neglect air resistance. (a) How high is the bridge from the water below? (b) How far horizontally does the rock travel before striking the water?

(Short Answer)

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Question 36

For general projectile motion with no air resistance, the vertical component of a projectile's acceleration

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Question 37

A projectile is fired from ground level with a speed of 150 m/s at an angle 30° above the horizontal on an airless planet where g = 10.0 m/s². What is the horizontal component of its velocity after 4.0 s?

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Question 38

When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff's velocity?

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Question 39

The eastward component of vector $\vec { A }$ is equal to the westward component of vector $\overrightarrow { \mathbf { B } }$ and their northward components are equal. Which one of the following statements must be correct for these two vectors?

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Question 40

Showing 21 - 40 of 183

Exam 3: Vectors and Motion in Two Dimensions

You throw a rock horizontally off a cliff with a speed of 20 m/s and no significant air resistance. After 2.0 s, the magnitude of the velocity of the rock is closest to

Vector A⃗\vec { A }A is along the +x-axis and vector B→\overrightarrow { \mathbf { B } }B is along the +y-axis. Which one of the following statements is correct with respect to these vectors?

A vector in the xy-plane has an x component of -7.50 units. What must be the y component of this vector so that its magnitude is 10.0 units. (Note: There are two possible answers.)

A player hits a tennis ball into the air with an initial velocity of 32 m/s at 35° from the vertical. How fast is the ball moving at the highest point in its trajectory if air resistance is negligible?

A jet plane flying 600 m/s experiences an acceleration of 4.0 g when pulling out of the circular section of a dive. What is the radius of curvature of this section of the dive?

A child throws a ball with an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground. At what angle below the horizontal does the ball approach the ground?

You walk 53 m to the north, then you turn 60° to your right and walk another 45 m.45 \mathrm {~m} .45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

The x component of vector A⃗\vec { A }A is 5.3 units, and its y component is -2.3 units. The angle that vector A⃗\vec { A }A makes with the +x-axis is closest to

A ball is thrown with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If we can neglect air resistance, what is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

A plane flying horizontally at a speed of 50 m/s and at an elevation of 160 m drops a package, and 2.0 s later it drops a second package. How far apart will the two packages land on the ground if air resistance is negligible?

A hockey puck slides off the edge of a platform with an initial velocity of 20 m/s horizontally. The height of the platform above the ground is 2.0 m. What is the magnitude of the velocity of the puck just before it touches the ground? You can neglect air resistance.

A girl throws a rock horizontally with a speed of 12 m/s from a bridge. It falls 2.28 s before hitting the water below. Neglect air resistance. (a) How high is the bridge from the water below? (b) How far horizontally does the rock travel before striking the water?

For general projectile motion with no air resistance, the vertical component of a projectile's acceleration

A projectile is fired from ground level with a speed of 150 m/s at an angle 30° above the horizontal on an airless planet where g = 10.0 m/s2. What is the horizontal component of its velocity after 4.0 s?

When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff's velocity?

The eastward component of vector A⃗\vec { A }A is equal to the westward component of vector B→\overrightarrow { \mathbf { B } }B and their northward components are equal. Which one of the following statements must be correct for these two vectors?

Representing Motion

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Vector $\vec { A }$ is along the +x-axis and vector $\overrightarrow { \mathbf { B } }$ is along the +y-axis. Which one of the following statements is correct with respect to these vectors?

You walk 53 m to the north, then you turn 60° to your right and walk another $45 \mathrm {~m} .$ Determine the direction of your displacement vector. Express your answer as an angle relative to east.

The x component of vector $\vec { A }$ is 5.3 units, and its y component is -2.3 units. The angle that vector $\vec { A }$ makes with the +x-axis is closest to

A projectile is fired from ground level with a speed of 150 m/s at an angle 30° above the horizontal on an airless planet where g = 10.0 m/s². What is the horizontal component of its velocity after 4.0 s?

The eastward component of vector $\vec { A }$ is equal to the westward component of vector $\overrightarrow { \mathbf { B } }$ and their northward components are equal. Which one of the following statements must be correct for these two vectors?