Exam 3: Vectors and Two-Dimensional Motion

Two projectiles are launched at 100 m/s,the angle of elevation for the first being 30 $\degree$ and for the second 60 $\degree$ .Which of the following statements is false?

A projectile is thrown horizontally at 10.0 m/s.The projectile hits the ground 0.510 s later.What is the angle of impact the projectile makes with the horizontal ground?

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 speed of Plane B as observed from Plane A?

A stone is thrown with an initial speed of 15 m/s at an angle of 53 $\degree$ above the horizontal from the top of a 35 m building.If g = 9.8 m/s² and air resistance is negligible,then what is the speed of the rock as it hits the ground?

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 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 boat moves through the water in a river at a speed of 8 m/s relative to the water.The boat makes a trip downstream and then makes a return trip upstream to the original starting place.Which trip takes longer?

Vector points north,and vector points east.If = - ,then vector points:

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)

An object moves at a constant velocity of 11 m/s to the southwest for an interval of 20 s.Halfway through this interval,what is the magnitude of its instantaneous velocity?

A ball is launched from ground level at 30 m/s at an angle of 35 $\degree$ above the horizontal.How far does it go before it is at ground level again?

A runner circles a track of radius 100 m one time in 100 s at a constant rate.The greatest change in his velocity from his starting velocity:

An object,initially moving in the negative x-direction,is subjected to a change in velocity in the positive y-direction.If the resulting velocity vector is drawn from the origin,into which quadrant does this vector point?

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

When we add a displacement vector to another displacement vector,the result is:

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)

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 40 mph.How long will it take for the plane to travel 200 miles north?

A runner circles a track of radius 100 m in 100 s moving at a constant rate.If the runner was initially moving north,what has been the runner's average acceleration when halfway around the track?

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?

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?