Question

d. Questions: 1. How did you predict horizontal distance (also known as range) from your measurements/calibrations? a. Draw a diagram 2.40m b. Show your derivation below without using numbers Plug numbers into your equation from part b to show how you got your actual number. Include error propagation c. 2. Without changing the height of your apparatus, how could you get your launcher to shoot the ball farther? accuracy of your calculations? 3. How might air resistance affect the precision and Physics 190 Fall 2014 CMiriam Simpson, Cuyamaca Colege

Answer 1

Given that: How did you predict horizontal distance from your measurement calibrations. Draw a diagram show your derivation below without using numbers. u_x = u cos theta u_y = u sin theta when the object reaches its maximum height, then v_y = 0 therefore V_y = u_y + a_y t 0 = u_y + (-g) + p p = u_y therefore t_p = u_y /g \r\n Now, we write range, which is given by S_x = u_x t_p therefore R = u_x t_p = u_x 2 u_y /g R = u cos theta middot 2 u sin theta/g R = 2 u^2 middot sin theta cos theta/g = u^2 middot sin 2 theta/g R = u^2 sin 2 theta/g Maximum height of projectile S = u t + 1/2 at^2 h_m = u_y t_p + 1/2 (-g) t^2_p = u sin theta (u sin theta/g) - 1/2 g (u sin theta/g)^2 = u^2 sin^2 theta/g - 1/2 g u^2 sin^2 theta/g^2 =