Gerry, the gerbil, walks 55 cm in the positive y-direction. After this, he is located 95 cm from the origin at an angle of 50 degrees from the positive x-axis towards the positive y-axis, as shown in the figure.

1. Complete the figure by including the change in position and the initial position vectors.

2. Calculate Gerry’s initial position.  

Deserted on a deserted Island, you spot a slightly exposed tin can under a tree. Upon opening it, you find it is instructions to a treasure. It reads:

1. Ten paces from this very tree, in a direction twenty degrees south of west, lies the first location. 

2. Ten paces from this very tree, in a direction sixty degrees north of east, lies the second location. 

3. Walk from this tree exactly the distance and direction you would walk from the first location to the second location, and you will find a treasure. Yar! 

Find the coordinates of the treasure. 

Two objects start from the same location and time but have different accelerations and initial velocities. We are asked to calculate the final location they meet again, and the time this process takes. In addition, we need to sketch the position vs. time (x-t) plot of the objects. 

Two objects, one with a contact speed, the other one with a constant speed race. First, we are asked to work on a 1D kinematic problem; then, we take the final values of part (a) and use them as the initial values of part (b). In part (b), we work on a complex projectile motion with a contact acceleration along the x and y-axis.