Projectile Motion – Zero Launch Angle Bellwork Notes – Zero Launch Angle Finish Video Analysis Lab Mastering Physics Assignment Exit Pass Bellwork Question 4.2 You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will: Dropping a Package a) quickly lag behind the plane while falling b) remain vertically under the plane while falling c) move ahead of the plane while falling d) not fall at all Question 4.2 You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will: Dropping a Package a) quickly lag behind the plane while falling b) remain vertically under the plane while falling c) move ahead of the plane while falling d) not fall at all Both the plane and the package have the same horizontal velocity at the moment of release. They will maintain this velocity in the x-direction, so they stay aligned. Follow-up: what would happen if air resistance is present? Zero Launch Angle Launch angle: direction of initial velocity with respect to horizontal 4-3 Zero Launch Angle This is the trajectory of a projectile launched horizontally: Zero Launch Angle In this case, the initial velocity in the y-direction is zero. Here are the equations of motion, with x0 = 0 and y0 = h: Zero Launch Angle In this case, the initial velocity in the y-direction is zero. Here are the equations of motion, with x0 = 0 and y0 = h: Use these equations to develop an equation for how the X and Y positions are related Zero Launch Angle Eliminating t and solving for y as a function of x: This has the form y = a + bx2, which is the equation of a parabola. The landing point can be found by setting y = 0 and solving for x: Take Out Video Analysis Handout • Under “Analysis/Questions” • Let’s work on #5 in Lab Groups • Then we’ll work on #s 3 & 4 – Based on more general Projectile Motion concepts • Finish last two questions and turn handout in – Finish both Paradigm ( Actual Plots ) and Lab handouts – Both will be graded Mastering Physics Assignment • Homework grade!! • Chapter 4 (Start Now – Due by 2 AM 10/24) – Pay attention to what is practice, extra credit, etc. • Chapter 5 (Can Start Saturday – Due by 2 AM 10/31) • 2% of the 100 is deducted for each day late Question 4.5 Cannon on the Moon For a cannon on Earth, the cannonball would follow path 2. Instead, if the same cannon were on the Moon, where g = 1.6 m/s2, which path would the cannonball take in the same situation? a b c d Question 4.5 Cannon on the Moon For a cannon on Earth, the cannonball would follow path 2. Instead, if the same cannon were on the Moon, where g = 1.6 m/s2, which path would the cannonball take in the same situation? The ball will spend more time in flight because gMoon < gEarth. With more time, it can travel farther a b in the horizontal direction. Follow-up: which path would it take in outer space? c d