Describe the process you would use to find the magnitude (length) of the resultant of two perpendicular vectors, one in the x-direction, and another in the y-direction. Lisa is solving a vector...

Describe the process you would use to find the magnitude (length) of the resultant of two perpendicular vectors, one in the x-direction, and another in the y-direction.

Lisa is solving a vector problem, and the answer she arrives at is “17.4 m/s at 11°.” Why is this answer, as it is currently written, not complete?

When solving projectile problems, you may hear that “motion in the x- and y-directions are independent of each other.” What does this mean, in terms of your problem solving?

When solving projectile motion problems where the projectile is launched at an angle, the first step is to find the x- and y-component of the initial velocity. Why is this helpful in solving these types of problems?

A curious physics student asked her teacher “how quickly is Earth moving through space?” Using the concept of relative velocity, explain why this question does not have an answer.

Two students are having a debate about the forces acting on a stationary object. Lawrence says that, because the object is not moving, there are no forces acting on it. Paula says that there can still be forces acting on an object, even if it is stationary. Which student is correct, and why?

Candace throws a ball so that it has a horizontal velocity of 6.2 m/s, and vertical velocity of 2.1 m/s. What is the velocity vector of this ball right as she releases it?

A pigeon is walking around a courtyard, looking for food. The pigeon walks 4.0 m west, 2.5 m north, 1.1 m west, and 7.3 m south. What is the pigeon’s final displacement vector?

Jeremy is walking through the woods, marking diseased trees for removal. He walks for 2.44 km, at a heading of 13.9° west of north. Based on this, how far north and how far west has he walked from his starting position?

Louisa and Tam are driving in a car. They travel 450 m at a heading of 15° south of west, then 230 m at a heading of 36° south of west. What is their final displacement vector after the second leg?

A round stone rolls towards the edge of 21 meter cliff. As it reaches the edge of the cliff, it is moving forward with a speed of 6.7 m/s. How far, horizontally, from the cliff face will the rock land?

Stacy uses a giant slingshot to launch a water balloon at an angle of 27° above horizontal. If the speed of the balloon is 19.7 m/s, what are the horizontal (x) and vertical (y) components of the initial velocity?

A tee-shirt cannon is used to launch tee-shirts into a crowd. If one shirt is launched with an initial velocity of 24.4 m/s, at an angle of 19.5° above horizontal, what will be the x- and y-components of the final velocity vector?

If a projectile is launched upward with a speed of 7.44 m/s, and at an angle of 40.1° above horizontal, what is the hang time of this projectile?

If a projectile is launched upward with a speed of 39.1 m/s, and at an angle of 10.4° above horizontal, what is the range of this projectile?

Carrie is going for a morning run on the deck of a cruise ship. Using the ship as her frame of reference, she is running east at a speed of 2.76 m/s. If the ship is traveling north at a speed of 9.38 m/s, what is Carrie’s velocity with respect to a stationary point on the water?

The current version of the device applies a 1.81 Newton force to the marble at an angle of 51° above horizontal. What are the horizontal and vertical components of this force vector?

The students are not getting the marbles to travel as far as they would like. What are some changes they could make to the device so that they get a greater range?

The current setup of the device launches the marbles at a speed of 9.05 m/s. If the students adjust the launch angle from 51° to 35°, what effect will this change have on the marbles’ hang times?

During one launch, when the 4.0-gram marble is at the peak of its trajectory, moving to the right, the only forces acting on it are the force of gravity, and a 0.01 N force of drag to the left. Draw the free body diagram for this situation.