Exam 3: Vectors and Two-Dimensional Motion

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 boat travels upstream and after one hour has gone 10 km.The boat next travels downstream and after one hour has gone 14 km.If the boat's speed relative to the water is constant, what is the speed of the current in the river?

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at an equal shoulder level) by the catcher.At what point is the ball's speed at a minimum? (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 does the magnitude of the vertical component of velocity have its minimum value? (air resistance is negligible)

Find the resultant of the following two vectors: i) 50 units due east and ii) 100 units 30 $\degree$ north of west.

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal.If it is in its trajectory for a total of 3.00 s before being caught by the third baseman at an equal shoulder-height level, what is the ball's net vertical displacement during its 3-s trajectory?

In a 2-dimensional Cartesian system, the x-component of a vector is known, and the angle between vector and x-axis is known.Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)

A rifle is aimed horizontally toward the center of a target 100 m away.If the bullet strikes 10 cm below the center, what was the velocity of the bullet? (Ignore air friction.)

When we subtract a velocity vector from another velocity vector, the result is:

A student adds two vectors with magnitudes of 200 and 40.Which one of the following is the only possible choice for the magnitude of the resultant?

A projectile is fired at an angle of elevation of 60 $\degree$ .Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector?

A stone is thrown at an angle of 30 $\degree$ above the horizontal from the top edge of a cliff with an initial speed of 12 m/s.A stop watch measures the stone's trajectory time from top of cliff to bottom to be 5.6 s.How far out from the cliff's edge does the stone travel horizontally? (g = 9.8 m/s² and air resistance is negligible)

The highest mountain on Mars is Olympus Mons, rising 22 000 meters above the Martian surface.If we were to throw an object horizontally off the mountain top, how long would it take to reach the surface? (Ignore atmospheric drag forces and use g_Mars = 3.72 m/s².)

Plane A is flying at 400 mph in the northeast direction relative to the earth.Plane B is flying at 500 mph in the north direction relative to the earth.What is the direction of motion of Plane B as observed from Plane A?

In a 2-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?

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 0.30 s.What is the height of the table? (g = 9.8 m/s² and air resistance is negligible)

A quarterback takes the ball from the line of scrimmage, runs backward for 10 yards, then sideways parallel to the line of scrimmage for 15 yards.He then throws a 50-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 plane is moving due north, directly towards its destination.Its airspeed is 200 mph.A constant breeze is blowing from west to east at 20 mph.In which direction is the plane pointed?

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30.0 $\degree$ 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 29.4 m/s at an initial angle of 30.0 $\degree$ with respect to the horizontal.The ball is in its trajectory for a total interval of 3.00 s before the third baseman catches it at an equal shoulder-height level.(Assume air resistance negligible.) What is the ball's horizontal displacement?