Exam 3: Motion in Two and Three Dimensions

A projectile is shot at an angle of 45º to the horizontal near the surface of Earth but in the absence of air resistance.When it reaches the highest point of its trajectory,its speed is 150 m/s.In a second trial with the same projectile,the initial speed is the same but the angle is now 37º with the horizontal.At its highest point in this trajectory,the speed of the projectile would be

A golfer drives her ball from the tee down the fairway in a high arcing shot.When the ball is at the highest point of its flight,

Which of the following statements is not true of a projectile moving near the surface of the earth against negligible air resistance?

A car is traveling south at 30 km/h.It rounds a curve,and 6 s later it is traveling west at 30 km/h.The magnitude of the average acceleration of the car is

A projectile was fired at 35º above the horizontal.At the highest point in its trajectory its speed was 200 m/s.If air resistance is ignored,the initial velocity had a horizontal component of

A ball is whirled in a horizontal circle of radius r and speed v.The radius is increased to 2r keeping the speed of the ball constant.The period of the ball changes by a factor of

Use the following 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.What is the direction of the acceleration at point B?

Use the diagram to answer the question. The curve shows the position of an object with time.The object moves with a constant speed,v. -Which of the vector diagrams below best represent the change in position vector from P₁ to P₂?

You walk 12 km south and then 5 km east.Your resultant displacement is

A rescue airplane is diving at an angle of 37º below the horizontal with a speed of 250 m/s.It releases a survival package when it is at an altitude of 600 m.If air resistance is ignored,the horizontal distance of the point of impact from the plane at the moment of the package's release is

You walk 5 km north and then 12 km east.Your resultant displacement is

Use the following 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.What is the direction of the acceleration at point C?

You shoot an arrow in a high arc toward a target located some distance away.At the highest point in its flight,the arrow's

The position vector of an object is given by and 4 s later,its position vector is .The units are in m.The average velocity vector, in m/s is

A roofing tile slides down a roof and falls off the roof edge 10 m above the ground at a speed of 6 m/s.The roof makes an angle of 30 degrees to the horizontal.How far from the exit point on the roof does the tile land?

The position vector locating the point P(5,12)relative to the origin is

If air resistance is neglected and the initial speed of a projectile is doubled,its range

A naughty squirrel jumps from a tree limb onto a birdfeeder.The tree limb is 4.5 m above the ground and the top of the birdfeeder is 1.5 m above the ground.If the squirrel jumps horizontally with a velocity of 2.5 m/s then how far away in the horizontal direction can the bird feeder be for the squirrel to just make it onto the top of the feeder.

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),calculate the magnitude of the average velocity during this interval.

A train,starting from rest,accelerates along the platform at a uniform rate of 0.6 m/s².A passenger standing on the platform is 5 m away from the door when the train starts to pull away and heads toward the door at acceleration of 1.2 m/s².How far away from the door is the passenger after 3 seconds?