A. A ball is thrown directly up with an initial speed of 4.00 m/s at y = 0. What is the maximum height h that it achieves, and w
hat time th did that take? Show the final formulas for the quantities, along with the numerical answers. At 30 fps how many frames would be recorded in a video of the throw? At 120 fps? B. From the height h in slide 2 the ball then drops back to y = 0. Find the time t0 that takes, and the velocity there (magnitude and direction). Show the final formulas for the quantities, along with the numerical answers.
C. Find the two times the ball is at the height y = ½ h. Show the final formula and the numerical answers.
D. Roughly sketch on a piece of paper what you expect the plots of y versus t and vy versus t will look like, take a picture, and paste them here.
1. Use the equation q = nC∆T n = mols of aluminum = 42.5g/ 6.98g/mol C = molar heat capacity = 24.03 j/Cmol ∆T = change in T from what it was before placed in calorimeter to after = 24.9C-82.4C (because water final and metal will be same temp.) plug in to calculate q of metal = q = (42.5/6.98)*(24.03J)(24.9-82.4) q = -2176.5498 J qmetal = -q of water plug in values for water -(-2176.5498 J) = mC∆T (m = mass of water in grams) m = q/C∆T ∆T=24.9-22.3 C = 2.6 2176.5498 J/(2.6x4.184) = m = 200.2714 g