A car is at position (x1,y1)= (4 m,5 m)at time t1 = 1 s.If 10 seconds later the car moving in a straight line is at position (x2,y2)= (204 m,305 m),find the (size of the)component of the average velocity along the x-axis.

A) 30.0 m/s B) 36.1 m/s C) 20.0 m/s D) 18.2 m/s E) 22.2 m/s A) 30.0 m/s B) 36.1 m/s C) 20.0 m/s D) 18.2 m/s E) 22.2 m/s C

Use the figure to answer the question. The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is VS1U1B1oS1U1B0 at an angle to the horizon. The vertical dashed lines represent equal time interval, -The acceleration at point a is ____ the acceleration at c.

A) less than B) equal to C) greater than D) unable to tell E) depends on how g changes along the path A) less than B) equal to C) greater than D) unable to tell E) depends on how g changes along the path

Use the figure to answer the question. The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is VS1U1B1oS1U1B0 at an angle to the horizon. The vertical dashed lines represent equal time interval, -The vertical velocity at point b is: Note: (g = 9.81 m/s2)

A) 0 B) Vo cos ($\theta$)- ½ g (2$\Delta$t)2 C) Vo sin ($\theta$)- ½ g (2$\Delta$t)2 D) Vo sin ($\theta$)+ ½ g (2$\Delta$t)2 E) Vo cos ($\theta$)+ ½ g (2$\Delta$t)2 A) 0 B) Vo cos ($\theta$)- ½ g (2$\Delta$t)2 C) Vo sin ($\theta$)- ½ g (2$\Delta$t)2 D) Vo sin ($\theta$)+ ½ g (2$\Delta$t)2 E) Vo cos ($\theta$)+ ½ g (2$\Delta$t)2

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s2 along the y axis for 2.0 s.The final speed of the particle is

A) -2.0 m/s B) 8.2 m/s C) 6.0 m/s D) 10 m/s E) None of these is correct. A) -2.0 m/s B) 8.2 m/s C) 6.0 m/s D) 10 m/s E) None of these is correct.

Exam 3: Motion in Two and Three Dimensions

A merry-go-round completes one revolution in 40 s.What is the centripetal acceleration of a rider located at a distance 2 m from the center of the merry go-round?

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Question 1

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A merry-go-round completes one revolution in 30 s.What is the speed of a rider located at a distance 3 m from the center of the merry go-round?

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Question 2

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A car is at position (x₁,y₁)= (4 m,5 m)at time t₁ = 1 s.If 10 seconds later the car moving in a straight line is at position (x₂,y₂)= (204 m,305 m),find the (size of the)component of the average velocity along the x-axis.

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Question 3

Correct Answer:

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Use the following to answer the question: -The figure represents the parabolic trajectory of a ball going from A to E.What is the speed at point C compared with that at point A?

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Question 4

A stone with a mass m is dropped from an airplane that has a horizontal velocity v at a height h above a lake.If air resistance is neglected,the horizontal distance R from the point on the lake directly below the point of release to the point where the stone strikes the water is given by which formula?

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Question 5

A projectile is ejected from a 25-m high tower with a velocity of 40 m/s at an angle of 30 degrees to the horizontal first on Earth and then on Mars.What is the ratio of maximum height above ground level on Mars to Earth (i.e.,h_max(Mars)/ h_max(Earth))? (Assume g_Mars = 0.38g_Earth)

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Question 6

Use the figure to answer the question. The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is V_o at an angle to the horizon. The vertical dashed lines represent equal time interval, -The horizontal velocity at point c is

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Question 7

The displacement of a particle is _______ the distance the object has traveled.

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Question 8

A car is traveling east at 50 km/h.It rounds a curve,and 5 s later it is traveling north at 50 km/h.The magnitude of the average acceleration of the car is

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Question 9

Use the figure to answer the question. The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is V_o at an angle to the horizon. The vertical dashed lines represent equal time interval, -The acceleration at point a is ____ the acceleration at c.

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Question 10

Use the figure to answer the question. The figure represents the parabolic trajectory of a ball going from a to e in Earth gravity but without air resistance. The initial velocity of the ball is V_o at an angle to the horizon. The vertical dashed lines represent equal time interval, -The vertical velocity at point b is: Note: (g = 9.81 m/s²)

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Question 11

A projectile is fired with an initial speed of 1000 m/s at an angle of 37º above the horizontal.If air resistance is neglected,the horizontal component of the projectile's velocity after 20 s is approximately

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Question 12

A baseball is thrown with a velocity $A baseball is thrown with a velocity at an angle \theta with the horizontal.The horizontal component of its velocity in the absence of air resistance is$ at an angle $\theta$ with the horizontal.The horizontal component of its velocity in the absence of air resistance is

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Question 13

The initial path of a rocket is 30º above the horizontal,and the horizontal component of the rocket's velocity is 326 m/s.The initial vertical component of the rocket's velocity is

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Question 14

A vector has an x component of 5.51 units and a y component of -9.52 units.The angle between the positive direction of the vector and the positive direction of the x axis is approximately

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Question 15

An airplane is heading due east.The airspeed indicator shows that the plane is moving at a speed of 370 km/h relative to the air.If the wind is blowing from the south at 92.5 km/h,the velocity of the airplane relative to the ground is

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Question 16

A pilot wants the heading of an airplane to be 37º east of north.The wind is from the east at 37 km/h.The airplane has a speed relative to the air of 370 km/h.Approximately what heading should the pilot maintain? (Hint: Sketch the problem graphically and select the best answer from the list given.)

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Question 17

A river is 0.76 km wide.The banks are straight and parallel.The current is 5.0 km/h and is parallel to the banks.A boat has a maximum speed of 3 km/h in still water.The pilot of the boat wishes to travel on a straight line from A to B,where AB is perpendicular to the banks.The pilot should

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Question 18

The maximum horizontal range of a rock which is thrown at the same speed but different angles with the horizon and which lands at a level,H,below the initial level occurs when the angle is

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Question 19

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s² along the y axis for 2.0 s.The final speed of the particle is

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Question 20

Showing 1 - 20 of 60

Exam 3: Motion in Two and Three Dimensions

A merry-go-round completes one revolution in 40 s.What is the centripetal acceleration of a rider located at a distance 2 m from the center of the merry go-round?

A merry-go-round completes one revolution in 30 s.What is the speed of a rider located at a distance 3 m from the center of the merry go-round?

A car is at position (x1,y1)= (4 m,5 m)at time t1 = 1 s.If 10 seconds later the car moving in a straight line is at position (x2,y2)= (204 m,305 m),find the (size of the)component of the average velocity along the x-axis.

Use the following to answer the question: -The figure represents the parabolic trajectory of a ball going from A to E.What is the speed at point C compared with that at point A?

A projectile is ejected from a 25-m high tower with a velocity of 40 m/s at an angle of 30 degrees to the horizontal first on Earth and then on Mars.What is the ratio of maximum height above ground level on Mars to Earth (i.e.,hmax(Mars)/ hmax(Earth))? (Assume gMars = 0.38gEarth)

The displacement of a particle is _______ the distance the object has traveled.

A car is traveling east at 50 km/h.It rounds a curve,and 5 s later it is traveling north at 50 km/h.The magnitude of the average acceleration of the car is

A projectile is fired with an initial speed of 1000 m/s at an angle of 37º above the horizontal.If air resistance is neglected,the horizontal component of the projectile's velocity after 20 s is approximately

A baseball is thrown with a velocity at an angle θ\thetaθ with the horizontal.The horizontal component of its velocity in the absence of air resistance is

The initial path of a rocket is 30º above the horizontal,and the horizontal component of the rocket's velocity is 326 m/s.The initial vertical component of the rocket's velocity is

A vector has an x component of 5.51 units and a y component of -9.52 units.The angle between the positive direction of the vector and the positive direction of the x axis is approximately

An airplane is heading due east.The airspeed indicator shows that the plane is moving at a speed of 370 km/h relative to the air.If the wind is blowing from the south at 92.5 km/h,the velocity of the airplane relative to the ground is

A river is 0.76 km wide.The banks are straight and parallel.The current is 5.0 km/h and is parallel to the banks.A boat has a maximum speed of 3 km/h in still water.The pilot of the boat wishes to travel on a straight line from A to B,where AB is perpendicular to the banks.The pilot should

The maximum horizontal range of a rock which is thrown at the same speed but different angles with the horizon and which lands at a level,H,below the initial level occurs when the angle is

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s2 along the y axis for 2.0 s.The final speed of the particle is

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A car is at position (x₁,y₁)= (4 m,5 m)at time t₁ = 1 s.If 10 seconds later the car moving in a straight line is at position (x₂,y₂)= (204 m,305 m),find the (size of the)component of the average velocity along the x-axis.

A projectile is ejected from a 25-m high tower with a velocity of 40 m/s at an angle of 30 degrees to the horizontal first on Earth and then on Mars.What is the ratio of maximum height above ground level on Mars to Earth (i.e.,h_max(Mars)/ h_max(Earth))? (Assume g_Mars = 0.38g_Earth)

A particle initially moving at 4.0 m/s along the x axis is uniformly accelerated at 3.0 m/s² along the y axis for 2.0 s.The final speed of the particle is