Exam 3: Motion in Two and Three Dimensions

A vector has an x component of -5.51 units and a y component of +9.52 units. The angle between the positive direction of the vector and the positive direction of the x-axis is

A velocity vector has an x component of +5.5 m/s and a y component of -3.5 m/s. The diagram that gives the direction of the vector is

If a baseball is thrown at an angle of elevation of 30°, its range in the absence of air resistance is less than that of one thrown at

An airplane in a horizontal flight releases a relief package that travels along possible paths as suggested in the diagram. The trajectory of the package is best represented by

A baseball is thrown with a velocity at an angle $\theta$ with the horizontal. The horizontal component of its velocity in the absence of air resistance is

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?

The velocity vector of an object is given by and 4 s later, its velocity vector is . The units are in m/s. The average acceleration vector, in m/s² is

A velocity vector has an x component of -5.5 m/s and a y component of +3.5 m/s. The diagram that gives the direction of the vector is

The position vector of an object is given by and 4 s later, its position vector is . The units are in m. The angle that the change in the position vector makes with respect to the positive x-axis is given by

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), find the size of the) component of the average velocity along the x-axis.

An object traveling in a circle at a variable speed

A car going around a curve of radius R at a speed V experiences a centripetal acceleration a_c. What should be the radius of the path that leads to same centripetal acceleration while it travels at speed 2V?

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 vector has an x component of 5.51 units and a y component of -9.52 units. The angle between the positive direction of the vector and the positive direction of the x-axis is approximately