30 m/s Questions: 1. At , does the time of flight increases, decreases or stays the same when the value of increases? Explain why? 2. At , does the time of flight increases, decreases or stays the same when the value of increases? Explain why? 3. Why the distance increases when the value of increases at any angle ?Experiment 3: Projectile Motion Theory For a given initial velocity, , and initial position, , the position of a particle , as a function of time, undergoing constant acceleration, is given by (I) This is a vector equation and can be broken down into its x and y components. If we neglect air resistance, the acceleration in the y-direction is -g, due to gravity. The acceleration in the x- direction is zero. The vector equation (1) becomes two scalar equations: (2) In terms of the angle , and the initial speed , the initial velocity components are (3) The time of ight is determined by the vertical motion. To nd the time of ight for the object traveling from the vertical level to the vertical level we have to solve the second equation in (2): (4) It follows from Eq. (4) that the time of ight depends on and the initial vertical velocity In this lab we explore how the time of flight of the object thrown from the cliff depends on the value of initial speed and the angle initial speed makes with the horizontal direction. Procedure Compare the time-of-ight for different values of initial speed when the launcher is aimed horizontally to the time-of-ight for different values of initial speed when the launcher is aimed at an angle above the horizontal. 5:59 -east-1-prod-fleet02-xythos.content.blackboardcdn.com Physics Simulations: Projectile Motion https://ophysics.com/k8.html Preliminary Setup: Projectile Motion Show Position Vectors Show Velocity Vector Initial Velocity (m/s) 28.28 Acceleration due to gravity (m/s") 9.8 Show Velocity Vector Components Fire Launch Angle 45* yo (m) = 20 Resume Reset K 10 -10 50 Zoom In Zoom Out Vx = 20 m/s Vy = 20 m/s v = 28.28 m/s -10 x =0m y = 20 m Animation Speed t = 0s t= 0 Set Initial Horizontal Set Angle and Initial Velocity Vector Length 1. Select option for Set Angle and Initial Velocity (second option at the bottom of page) 2. Set the height m 3. Perform simulations and find the time of flight and the horizontal distance between the base of the cliff and the point where the object hit the ground for m/s and and . Record your data in the data tables below 4. Calculate the distance as Data Table Launch Angle Initial Speed Time of Flight (s) Distance measured (m) Distance calculated (m) (m/sec) 10 m/s 20 m/s 30 m/s Launch Angle above Horizontal Initial Speed Time of Flight (s) Distance measured (m) Distance calculated (m) m/sec) 10 m/s 20 m/s 30 m/s Questions: 1. At , does the time of flight increases, decreases or stays the same when the value of increases? Explain why? 2. At , does the time of flight increases, decreases or stays the same when the value of increases? Explain why