Q1. At one instant a bicyclist is 40.0 m due east of a park's flagpole, going due south with a speed of 10.0 m/s. Then 30.0 s later, the cyclist is 40.0 m due north of the flagpole, going due east with a speed of 10.0 mls. For the cyclist in this 30.0 s interval, what are the

(a) magnitude and (b) direction of the displacement, the (c) magnitude and (d) direction of the average velocity, and the (e) magnitude and (f) direction of the average acceleration?

Q2. A hiker, who weighs 1140 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3160 N, and rests on two concrete supports, one at each end. He stops one-fifth of the way along the bridge. What is magnitude of the force that a concrete support exerts on the bridge at each end?

Q3. A magician pulls a tablecloth from under a 175-g mug located 25.0 cm from the edge of the cloth. The cloth exerts a friction force of 0.100 N on the mug and the cloth is pulled with a constant acceleration of 3.00 m/s.

How far does the mug move?

Relative to the horizontal tabletop before the cloth is completely out from under it? Note down that the cloth must move.