1. Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 9

2. A cannon at the origin points up at an angle θ with the x axis. A shell is fired which leaves the barrel with a velocity of magnitude V m. a)When does the shell reach its maximum height? b)What is the maximum height? c)What is the range (horizontal distance)? d)What is the velocity of the shell when it hits the ground?

3. A faulty model rocket moves in the xy-plane (the positive y- direction is vertically upward). The rocket’s acceleration has components a x (t)=  t 2 and a y (t)=  -  t, where  =2.50 m/s 4,  =9.00 m/s 2, and  =1.40 m/s 3. At t=0 the rocket is at the origin and has velocity with and a)Calculate the velocity and position vectors as functions of time. b)What is the maximum height reached by the rocket? c) What is the horizontal displacement of the rocket when it returns to y=0?

4. A can drops from a magnet just when a bullet is shot from a gun: Find the angle that the gun must be aimed at to hit the can.

5. Have a great day! Reading: Chapter 5 Hw: All Chapters 3 and 4 problems and exercises