Exam 3: Vectors and Two-Dimensional Motion

Wiley Coyote has missed the elusive road runner once again.This time,he leaves the edge of the cliff at 50.1 m/s horizontal velocity.If the canyon is 110 m deep,how far from his starting point at the edge of the cliff does the coyote land? ​

John throws a baseball from the outfield from shoulder height,at an initial velocity of 29.7 m/s at an initial angle of 45.0° with respect to the horizontal.The ball is in its trajectory for a total interval of 4.00 s before the third baseman catches it at an equal shoulder-height level.(Assume air resistance negligible. )What is the ball's horizontal displacement? ​

Five boys are pushing on a snowball,and each is pushing with a force of 16.0 N.However,each boy is pushing in a different direction.They are pushing north,northeast,east,southeast,and south.(Each boy is pushing at an angle of 45.0° relative to his neighbor. )What is the magnitude of the total force on the ball?​

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 45° with respect to the horizontal.What is the maximum vertical displacement that the ball reaches during its trajectory? ​

Which of the following is an example of a vector quantity?

A stone is thrown with an initial speed of 13.4 m/s at an angle of 53° above the horizontal from the top of a 38 m building.If g = 9.8 m/s² and air resistance is negligible,what is the magnitude of the horizontal displacement of the rock? ​

A string attached to an airborne kite is maintained at an angle of 49° with the horizontal.If a total of 170 m of string is reeled in while bringing the kite back to the ground,what is the horizontal displacement of the kite in the process? (Assume the kite string doesn't sag. ) ​

A particle moves east at constant velocity For a time interval ΔT.It then moves north at a constant velocity,with the same speed as before,for another time interval ΔT.Finally it moves east again with the original velocity.At the instant an additional time interval ΔT has elapsed,which of the following are true about the average velocity and the average acceleration for the motion described?

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?

A fireman,50.4 m away from a burning building,directs a stream of water from a fire hose at an angle of 31.2° above the horizontal.If the initial speed of the stream is 46.8 m/s,at what height will the stream of water strike the building? ​

A student adds two vectors with magnitudes of 230 and 40.Which one of the following is the only possible choice for the magnitude of the resultant?

A quarterback takes the ball from the line of scrimmage,runs backward for 11 yards,then sideways parallel to the line of scrimmage for 16 ards.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 projectile is thrown horizontally at 11.8 m/s.The projectile hits the ground 0.51 s later.What is the angle of impact the projectile makes with the horizontal ground? ​

Find the resultant of the following two vectors: i)40 units due east and ii)100 units 30° north of west. ​

When three vectors are added graphically and form a closed triangle,the largest enclosed angle between any two of the vectors cannot be greater than

A jogger runs halfway around a circular path with a radius of 50 m.What,respectively,are the magnitude of the displacement and the distance jogged? ​

A ball is rolled horizontally off a table with an initial speed of 0.28 m/s.A stopwatch measures the ball's trajectory time from table to the floor to be 0.33 s.What is the height of the table? (g = 9.8 m/s² and air resistance is negligible) ​

A ball is rolled horizontally off a table with an initial speed of 0.22 m/s.A stop watch measures the ball's trajectory time from table to the floor to be 0.2 s.How far away from the table does the ball land? (g = 9.8 m/s² and air resistance is negligible) ​

Plane A is flying at 350 mph in the northeast direction relative to the earth.Plane B is flying at 520 mph in the north direction relative to the earth.What is the direction of motion of Plane B as observed from Plane A? ​

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)