1. A motorcycle drives on the top of a stationary semi-trailer 2.5m above the ground.At the end of the trailer, going with a velocity of 100km/h,it drives off.How far horizontally does it go before it lands on the ground?

2. An asteroid is approaching the Earth at a speed of 10.5 km/s. A space ship with a speed of 5.70 km/s is sent out from the Earth to intercept it. A) What is the speed of the ship with respect to the asteroid? B) What is the speed of the asteroid with respect to the ship?

3. On a lake at camp, a group of campers heads out in a canoe paddling at a leisurely rate of 0.63 m/s. Once they are 10.0 m from the shore, a counselor in a kayak starts out from the shore to catch up with them, paddling at a rate of 1.56 m/s. A) What is the velocity of the kayak with respect to the canoe? B) How long does it take the kayak to catch up?

4. A jogger is heading north at a constant pace of 1.88 m/s. A second jogger is headed west at a constant pace of 2.37 m/s. A) What is the second jogger's speed with respect to the first? B) If the second jogger slows down to the same magnitude as the first but still heads west, now what is his speed with respect to the first?

For the last two problems, write down the key words or phrases for the following problems. Based on this information, identify the original frame of reference for the velocities and the new reference for final velocities. Donotfully solve the problem. Donotsolve the equation for the unknown variable.

5. Two friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating due south at a speed of 4.0 m/s. Neil is in front of her. With respect to the ground, Neil is skating due west at a speed of 3.2 m/s. Find Neil's velocity (magnitude and direction relative to due west), as seen by Barbara.

6. You are in a hot-air balloon that, relative to the ground, has a velocity of 6.0 m/s in a direction due east. You see a hawk moving directly away from the balloon in a direction due north. The speed of the hawk relative to you is 2.0 m/s. What are the magnitude and direction of the hawk's velocity relative to the ground?