At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by = (3.0 − 2.0 ) m/s2. At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

A) 11 m B) 16 m C) 22 m D) 29 m E) 19 m A) 11 m B) 16 m C) 22 m D) 29 m E) 19 m

Exam 4: Motion in Two Dimensions

At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i − 4.0j) m/s². At the instant the x coordinate of the particle is 15 m, what is the speed of the particle?

(Multiple Choice)

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Question 61

A hunter wishes to cross a river that is 1.5 km wide and flows with a velocity of 5.0 km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 12 km/h with respect to the water. What is the minimum time for crossing?

(Short Answer)

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Question 62

A student in the front of a school bus tosses a ball to another student in the back of the bus while the bus is moving forward at constant velocity. The speed of the ball as seen by a stationary observer in the street:

(Multiple Choice)

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Question 63

Jane plans to fly from Binghampton, New York, to Springfield, Massachusetts, about 280 km due east of Binghampton. She heads due east at 280 km/h for one hour but finds herself at Keene, which is 294 km from Binghampton in a direction 17.8 degrees north of due east. What was the wind velocity?

(Multiple Choice)

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Question 64

At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of . At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?

(Multiple Choice)

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Question 65

A particle starts from the origin at t = 0 with a velocity of (16 − 12 ) m/s and moves in the xy plane with a constant acceleration of = (3.0 − 6.0 ) m/s². What is the speed of the particle at t = 2.0 s?

(Multiple Choice)

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Question 66

A car travels in an oval path as shown below. = 25 m/s, West, and = 20 m/s, North. The ratio of the magnitude of the centripetal acceleration at B to that at A, , is:

(Multiple Choice)

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Question 67

Given the equations below, which description best fits the physical situation?

(Multiple Choice)

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Question 68

A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes the ground at a point 65 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground?

(Multiple Choice)

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Question 69

A rock is thrown from the edge of the top of a 100-ft tall building at some unknown angle above the horizontal. The rock strikes the ground a horizontal distance of 160 ft from the base of the building 5.0 s after being thrown. Assume that the ground is level and that the side of the building is vertical. Determine the speed with which the rock was thrown.

(Multiple Choice)

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Question 70

A particle moves along a circular path having a radius of 2.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s², what is the magnitude of the total acceleration of the particle?

(Multiple Choice)

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Question 71

The initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon, what is the minimum time of flight for the ball?

(Multiple Choice)

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Question 72

At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by = (3.0 − 2.0 ) m/s². At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

(Multiple Choice)

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Question 73

Car A leaves point O at t = 0 and travels a quarter circle counterclockwise at 30.0 m/s to point P. Car B will leave point O and travel to point P at the same speed but in a straight line. The radius of the circle is 100 m. At what time should car B leave point O in order to arrive at point P at the same time as car A?

(Multiple Choice)

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Question 74

A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 20 m/s north, and the total acceleration of the car is 2.5 m/s² 37° south of west. Which of the following is correct?

(Multiple Choice)

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Question 75

The site from which an airplane takes off is the origin. The x axis points east; the y axis points straight up. The position and velocity vectors of the plane at a later time are given by and . The magnitude, in meters, of the plane's displacement from the origin is

(Multiple Choice)

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Question 76

A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal. How long is he in the air before returning to Earth?

(Short Answer)

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Question 77

While the gondola is rising at a speed of 5.0 m/s, a passenger in a balloon-supported gondola throws a small ball up at a speed of 2.0 m/s relative to his body. A person who measures the ball's velocity at the instant of release will find that the ball's velocity relative to the ground at that instant is

(Multiple Choice)

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Question 78

Which of the following quantities is directly proportional to the time interval after a projectile has left the barrel that shot it out? The x axis is horizontal; the y axis is vertically upward.

(Multiple Choice)

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Question 79

Showing 61 - 79 of 79

Exam 4: Motion in Two Dimensions

At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i − 4.0j) m/s2. At the instant the x coordinate of the particle is 15 m, what is the speed of the particle?

A hunter wishes to cross a river that is 1.5 km wide and flows with a velocity of 5.0 km/h parallel to its banks. The hunter uses a small powerboat that moves at a maximum speed of 12 km/h with respect to the water. What is the minimum time for crossing?

A student in the front of a school bus tosses a ball to another student in the back of the bus while the bus is moving forward at constant velocity. The speed of the ball as seen by a stationary observer in the street:

Jane plans to fly from Binghampton, New York, to Springfield, Massachusetts, about 280 km due east of Binghampton. She heads due east at 280 km/h for one hour but finds herself at Keene, which is 294 km from Binghampton in a direction 17.8 degrees north of due east. What was the wind velocity?

At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of . At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?

A particle starts from the origin at t = 0 with a velocity of (16 − 12 ) m/s and moves in the xy plane with a constant acceleration of = (3.0 − 6.0 ) m/s2. What is the speed of the particle at t = 2.0 s?

A car travels in an oval path as shown below. = 25 m/s, West, and = 20 m/s, North. The ratio of the magnitude of the centripetal acceleration at B to that at A, , is:

Given the equations below, which description best fits the physical situation?

A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes the ground at a point 65 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground?

A particle moves along a circular path having a radius of 2.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s2, what is the magnitude of the total acceleration of the particle?

The initial speed of a cannon ball is 0.20 km/s. If the ball is to strike a target that is at a horizontal distance of 3.0 km from the cannon, what is the minimum time of flight for the ball?

At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by = (3.0 − 2.0 ) m/s2. At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 20 m/s north, and the total acceleration of the car is 2.5 m/s2 37° south of west. Which of the following is correct?

The site from which an airplane takes off is the origin. The x axis points east; the y axis points straight up. The position and velocity vectors of the plane at a later time are given by and . The magnitude, in meters, of the plane's displacement from the origin is

A track star in the broad jump goes into the jump at 12 m/s and launches himself at 20° above the horizontal. How long is he in the air before returning to Earth?

Which of the following quantities is directly proportional to the time interval after a projectile has left the barrel that shot it out? The x axis is horizontal; the y axis is vertically upward.

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At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (2.0i − 4.0j) m/s². At the instant the x coordinate of the particle is 15 m, what is the speed of the particle?

A particle starts from the origin at t = 0 with a velocity of (16 − 12 ) m/s and moves in the xy plane with a constant acceleration of = (3.0 − 6.0 ) m/s². What is the speed of the particle at t = 2.0 s?

A particle moves along a circular path having a radius of 2.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s², what is the magnitude of the total acceleration of the particle?

At t = 0, a particle leaves the origin with a velocity of 5.0 m/s in the positive y direction. Its acceleration is given by = (3.0 − 2.0 ) m/s². At the instant the particle reaches its maximum y coordinate how far is the particle from the origin?

A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 20 m/s north, and the total acceleration of the car is 2.5 m/s² 37° south of west. Which of the following is correct?