Exam 3: Motion in Two Dimensions

A rifle is aimed horizontally toward the center of a target 120 m away.If the bullet strikes 11.2 cm below the center,what was the velocity of the bullet? (Ignore air friction. )

In a two-dimensional Cartesian coordinate system the x-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function,with respect to the angle between vector and x-axis?

In a two-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector's magnitude multiplied by which trigonometric function,with respect to the angle between vector and y-axis?

A mouse starts out in a corner of a room,and runs across the floor according to the following displacements: D_​1: 1.2 m + 0)4 m D​₂: 0.2 m - 0)8 m What is the magnitude of the total displacement of the mouse's position?

A track star in the broad jump goes into the jump at 12.0 m/s and launches himself at 26.0° above the horizontal.How long is he in the air before returning to Earth? (g = 9.8 m/s²)

A stone is thrown with an initial speed of 11.5 m/s at an angle of 50.0 above the horizontal from the top of a 30.0-m-tall building. Assume air resistance is negligible, and g = 9.8 m/s2. -What is the speed of the rock as it hits the ground?

A projectile is launched at an angle less than 30° and at speed v.Which will increase the projectile's range more,ignoring atmospheric drag?

Two baseballs are released at the same time.One is dropped from rest and the other is given an initial horizontal velocity.Which of the following is not true? Ignore atmospheric drag.

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.1 m/s at an initial angle of 30.0° with respect to the horizontal.What is the maximum vertical displacement that the ball reaches during its trajectory?​

John throws a baseball from the outfield from shoulder height,at an initial velocity of 41.5 m/s at an initial angle of 40.0° with respect to the horizontal.The ball is in its trajectory for a total interval of 5.00 s before the third baseman catches it at an equal shoulder-height level.(Assume air resistance negligible. )What is the ball's horizontal displacement?​

A quarterback takes the ball from the line of scrimmage,runs backward for 12 yards,then sideways parallel to the line of scrimmage for 18 yards.He then throws a 47-yard forward pass straight downfield perpendicular to the line of scrimmage.The receiver is tackled immediately.How far is the football displaced from its original position?

A ball is rolled horizontally off a table with an initial speed of 0.24 m/s.A stopwatch measures the ball's trajectory time from table to the floor to be 0.36 s.What is the height of the table? (g = 9.8 m/s² and air resistance is negligible)

A baseball is thrown by the center fielder (from shoulder level)to home plate where it is caught (on the fly at shoulder level)by the catcher.At what point is the magnitude of the acceleration at a minimum? (air resistance is negligible)

A projectile is launched at an angle θ above the horizontal.Three seconds later the projectile is moving the same angle θ below the horizontal.Which of the following (actual values with units,not just algebraic symbols)can be found from the information given?

A helicopter is traveling at 50.0 m/s at a constant altitude of 150 m over a level field.If a wheel falls off the helicopter,with what speed will it hit the ground? (g = 9.8 m/s² and air resistance negligible)​

A stone is thrown with an initial speed of 11.5 m/s at an angle of 50.0 above the horizontal from the top of a 30.0-m-tall building. Assume air resistance is negligible, and g = 9.8 m/s2. -What is the magnitude of the vertical-velocity component of the rock as it hits the ground?

A hiker walks 200 m west and then walks 100 m north.In what direction is her resulting displacement?

​A startled deer runs 520 m at 20.0° north of east for half a minute,then turns and runs 380 m at 55.0° north of west for 15.0 seconds and stops.What is the average velocity of the deer during this time?

A baseball leaves the bat with a speed of 47 m/s and an angle of 45° above the horizontal.A 5.0-m-high fence is located at a horizontal distance of 137 m from the point where the ball is struck.Assuming the ball leaves the bat 1.0 m above ground level,by how much does the ball clear the fence?

A stone is thrown with an initial speed of 11.5 m/s at an angle of 50.0 above the horizontal from the top of a 30.0-m-tall building. Assume air resistance is negligible, and g = 9.8 m/s2. -What is the magnitude of the horizontal-velocity component of the rock as it hits the ground?