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Honors Physics 19 Oct 2009 • Today and tomorrow: Virtual Projectile lab • This is a mandatory lab assignment! • Please turn in your free-fall graphical analysis lab work if you haven’t already! Honors Physics 20 Oct 2009 • Complete Virtual Projectile Labs – Turn in today if finished – Complete for homework and turn in tomorrow if you need more time. – Tomorrow: Projectile challenge – can you predict where your projectile will land using equations of motion? Honors Physics 21 Oct 2009 • Today: Projectile challenge – can you predict where a projectile will land? • • • • TOOLS dx = vxt (from EQ 2) dy = ½ gt2 (from EQ 3) Timer, Board, Ball, Cup, Meter Stick Idea behind the lab • Calculate the distance that a projectile travels knowing the velocity of launch and the height • Solve the y equation for t • Roll a ball using a ramp to determine its launch velocity • Plug this t into the x equation to solve for the x distance • Put a cup this distance away from the edge of the table and try to catch it. Honors Physics 22 Oct 2009 • Today: More on vector analysis – and using trigonometry • Homework: Practice B problems 1-4 on page 92 More on vectors • Vector quantities have magnitude and direction – they are sometimes indicated by little arrows above the variable • Addition of two vectors is NOT the same as adding scalar terms. You must use graphical or trigonometric methods (if you take a linear algebra course in college, you’ll learn another way to add vectors using matrices) Vectors continued • Adding two or more vectors gives you a “resultant,” so we say things like, “we resolve these vectors,” and so forth. • Vectors can be moved for analysis, as long as they aren’t “turned” • Vectors can be added in any order, but always “tip to tail.” • You can multiply a vector times a scalar, getting a new vector Rules for right triangles • a2 + b2 = c2 where c is the hypotenuse of a right triangle, and a and b are the short sides • Sohcahtoa – sin θ = opposite/hypotenuse – cos θ = adjacent/hypotenuse – tan θ = opposite/adjacent Using trig - examples • A plane flies north at 100 m/s while a wind blows to the east at 30 m/s. What are the resulting speed and direction of the plane? • A cannon ball is fired at a speed of 100 m/s at an angle of 30 degrees with respect to the horizon. What are the x and y components of velocity Honor Physics 23 Oct 2009 • First – Homework check & warm-up • An arrow is fired at a speed of 40 m/s at an angle of 20 degrees above the horizon. What are the initial x and y components of velocity? • Together: How high does it go? How far does it go? What if you fired it from a 30 m high cliff?