4. 2D Kinematics

Velocity in 2D

Multiple Choice
While following a treasure map, you start at an old oak tree. You first walk 85 m at 30.0° west of north, then walk 92 m at 67.0° north of east. You reach the treasure 2 minutes later. Calculate the magnitude of your average velocity for the entire trip.
Multiple Choice
While following a treasure map, you start at an old oak tree. You first walk 85 m at 30.0° west of north, then walk 92 m at 67.0° north of east. You reach the treasure 2 minutes later. Calculate your average speed for the entire trip.
Multiple Choice
A coastal breeze pushes your sailboat at constant velocity for 8 min. After checking your instruments, you determine you've been pushed 650 m west and 800 m south. What was the magnitude & direction of your average velocity?
Multiple Choice
A ball moves on a tabletop. The ball has initial x & y coordinates (1.8m, 3.6m). The ball moves 10m/s at 53.1° above the x-axis for 4s. What are the x & y coordinates of the ball's final position?
Open Question
A dog running in an open field has components of velocity υx = 2.6 m/s and υy = −1.8 m/s at t1 = 10.0 s. For the time interval from t1 = 10.0 s to t2 = 20.0 s, the average acceleration of the dog has magnitude 0.45 m/s2 and direction 31.0° measured from the +x–axis toward the +y–axis. At t2 = 20.0 s, (a) what are the x- and y-components of the dog's velocity?
Open Question
A rocket-powered hockey puck moves on a horizontal frictionless table. FIGURE EX4.6 shows graphs of and , the x- and y-components of the puck's velocity. The puck starts at the origin. (a)In which direction is the puck moving at t = 2s? Give your answer as an angle from the x-axis.
Open Question
A rocket-powered hockey puck moves on a horizontal frictionless table. FIGURE EX4.6 shows graphs of and , the x- and y-components of the puck's velocity. The puck starts at the origin. (b) How far from the origin is the puck at t = 5s?
Open Question
(II) A ball thrown horizontally at 10.8 m/s from the roof of a building lands 21.0 m from the base of the building. How high is the building?
Open Question
(II) An ant walks on a piece of graph paper straight along the 𝓍 axis a distance of 10.0 cm in 2.40 s. It then turns left 40.0° and walks in a straight line another 10.0 cm in 1.80 s. Finally, it turns another 70.0° to the left and walks another 10.0 cm in 1.55 s. Determine
(b) its magnitude and direction.
Open Question
(II) A hiker follows a winding trail for 5.5 hours while climbing a mountain. The distance along the trail is 11.5 km and the summit is 850 m above and 8.0 km due north of the starting point. What are the average speed and the magnitude and direction of the average velocity vector?