V V At Equation 1 D Vt 1 2at Equation 2 V V 2ad Equation 3 Part 1 Falling Objects A Deriving The Formula 1 (49.67 KiB) Viewed 43 times
V V At Equation 1 D Vt 1 2at Equation 2 V V 2ad Equation 3 Part 1 Falling Objects A Deriving The Formula 2 (50.62 KiB) Viewed 43 times
V₁= V₁ + at Equation 1 d=Vt+ 1/2at² Equation 2 V²,= V², + 2ad Equation 3 Part 1: Falling Objects A. Deriving the formula for theoretical fall time and speed of impact for falls from a given height. Rearrange Equation 2 above to derive the formula for the time (t) it takes a body (or object) to hit the ground after falling from a given height (d). Then, rearranging Equation 3, derive the formula for the final velocity (V) for such an object falling from a known height (d). Do not compute any actual numbers in this step, only rearrange the formulas. Rearrange Equation 2: Rearrange Equation 3: B. Computing theoretical fall times. Use the appropriate formula you derived in part (a) above to compute the theoretical fall time for each measured fall height shown in your table. Assume the initial velocity (V) is zero at the top and that gravity (g) = -9.8 m/s. Enter the theoretical fall times in column C of Table 1. For height, use the distance from your hand dropping an object with your arm raised above your head and the distance from the 2nd floor landing outside of the P.E.C. building (5.5m). C. Computing theoretical impact speeds. Use the appropriate formula you derived in part (a) above to TCHI
CUI QUI . L , you sing an ow you a your head and the distance from the 2nd floor landing outside of the P.E.C. building (5.5m). C. Computing theoretical impact speeds. Use the appropriate formula you derived in part (a) above to compute the theoretical impact velocity (V) for each measured fall height shown in your table. Again, assume the initial velocity is zero at the top and that g=-9.8 m/s. Enter the theoretical impact speeds in column D of Table 1. TABLE 1. B C D Theoretical Theoretical Object/ Condition Proposed Fall Height (m) fall time (s) Impact speed (m/s) PingPong/ Above head PingPong/ 2nd Floor Tennis Ball/ Above Head Tennis Ball/ 2nd Floor Futsal Ball/ Above Head Futsal Ball/ 2nd Floor QUESTION: You were just asked to make 6 calculations (3 from two heights)... what became clear about doing these calculations (Hint: what's the theme?)
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