Projectile Motion Lab & Review Projectile motion is the motion experienced by an object that is thrown or launched near the Earth's surface. The object moves along a curved path under PLET the action of gravity only, after it has been launched. This curved path is a parabola, and any launched follows this motion. In this assignment you will be working with the projectile motion Phet Lab, link below, to better understand what affects projectile motion. Link: https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile- motion_en.html Prior Knowledge: 1. Calculate the time required for a cannonball to fall 10.0 m. Hint: You may need to use a kinematic equation, and the acceleration due to gravity of 9.8 m/s2. Projectile Motion Lab: Click on the tab at the bottom of the screen labeled "Lab". Raise the cannon to a height of 10 m, and set the canon angle to 0'. Make the following predictions before firing the cannon. Highlight your prediction. a. If the initial velocity increases then the time of flight will ( increase, decrease, remain the same). b. If the initial velocity increases, while the height of the cannon remains the same, the distance travelled or horizontal range will ( increase, decrease, remain the same). Complete the following data table using the tools provided. Must leave the angle at 0: Initial Velocity (m/s) Time (s) Horizontal Range (m) co. 20 380 F4 F5 -. F6 44 F7 DII FB DD F9 @ V & 2 4 5 6 8 Q W E R T Y U OJO Comment Shape Media Table Chart Text Complete the following data table using the tools provided. Must leave the angle at 0. Horizontal Range (m) Time (s) Initial Velocity (m/s) 0 5 10 15 Answer the following questions based on your findings from the table you filled out. Make sure to support your answer with an explanation. a. As the initial velocity of a projectile fired horizontally increases, the horizontal distance the projectile fires ( increases, decreases, remain the same). b. As the initial velocity of a projectile fired horizontally increases, the time the projectile is in the air ( increases, decreases, remain the same). c. True or False, When projectiles are fired horizontally, gravity causes the projectile to change its speed horizontally. d. True or False, When air resistance is ignored, the horizontal acceleration of a projectile is always equal to 0 m/s/s Complete the following data table using the tools provided. Must set the angle at 90% Initial Velocity (m/s) Time (s) Horizontal Range (m) F1 F2 20 44 F7 DD F8 F9 F1 a & X 5 O - 6 8 9 Q W E R TT Shape Media Comment Chart 125% Table Text Complete the following data table using the tools provided. Must set the angle at 90 Horizontal Range (m) Initial Velocity (m/s) Time (s) 0 5 10 15 Answer the following questions based on your findings from the table you filled out. Make sure to support your answer with an explanation. a. As the initial velocity of a projectile fired vertically increases, the horizontal distance the projectile fires ( increases, decreases, remain the same). b. As the initial velocity of a projectile fired vertically increases, the time the projectile is in the air ( increases, decreases, remain the same). c. True or False, When projectiles are fired vertically, gravity causes the projectile to change its speed vertically. Projectiles will not always be fired at 0 or 90, but normally something in-between, based on the data you collected make the following conclusions: a. What component of initial velocity affects the range of the projectile? b. What component of initial velocity affects the time the projectile is in the air? esc 20 F3 F5 . F6 44 F7 DII F8 F9 @ & 5 7 8 O Q W E R T Y U OMedia Shape Table Chart 125% V 2. If a projectile is fired horizontally (at an angle of 0' to the horizon) from a height of 50.0m, at an initial velocity of 40 m/s, how much time is required for the projectile to reach the ground? Show equation, sub w/ units and answer w/ units. a. How does this compare to the time it would have taken for the projectile to fall from the same height. b. Now calculate the range of the projectile. 3. Using the simulation (and an initial velocity of 15 m/s) determine the launch angle, when launched from a height of 0 m, that will result in the max range. What is the range and height? A projectile is fired at a 40 to the horizon, at a height of 0.0m, with an initial velocity of 20 m/s. a. Make a labeled diagram showing the angle, Vi, Vx , Vy. (Remember, the V, is the initial velocity, V, is the horizontal-component of initial velocity, and Vy is the vertical-component of velocity.) 20 44 esc O- Boo F4 F7 DI DD F1 F2 F5 a & 5 6 8 Q W FT Collaborate Chart Text Shape Media Comment Table b. Calculate the horizontal component of the initial velocity (Vx). Show equation, sub w/ units and answer w/ units. c. Calculate the vertical component of the initial velocity (Vy). Show equation, sub w/ units and answer w/ units. d. Calculate the time of flight for the projectile. (Hint: Treat the problem as if the projectile is launched straight upwards, with the initial velocity of Vy and a final velocity that is equal in magnitude but opposite the direction of Vy.) Show equation, sub w/ units and answer w/ units. e. Calculate the maximum height of the projectile. (Remember, time to top is equal to 1/2 of the time of flight.) Show equation, sub w/ units and answer w/ units. I f. Calculate the range of the projectile. (Remember, when air resistance is ignored, there is no acceleration in the horizontal direction, so range is directly related to Vx. Show equation, sub w/ units and answer w/ units. Check your work to a-e, using the simulation. F2 F3 F4 F5 2 F6 14 F7 DII FB DD FIC a # $ 8