Question

3.2.1.3 Riemann Sums: Sigma Notation - Part 3 Your Turn 3.2.3: A gorilla (wearing a parachute) jumped off the top of a building. We were able to record the velocity of the gorilla with respect to time twice each second. The data is shown below. Note that the gorilla touched the ground just after 5 seconds. a) Use what you've learned to approximate the total distance the gorilla fell from the time he jumped off the building until the time he landed on the ground. (note: distance = velocity. time) Time (in seconds) Velocity (in feet per second) b) Is your calculation an overestimate? 0.5 an underestimate? an exact value? How can you tell? 2.0 11 0 0 5 7 8 1.0 1.5 2.5 3.0 3.5 4.0 4.5 5.0 11.5 12 13 15.5 18 19

Answer 1

3.2.2 12. 유할 가는 일옥를12 AX 79 로 Ly - + ) + 히을 () + 히는 (as-8) + (15) (as-12) + 25 (s 시100국가유로는 {loo 퓨로는 48.25 4 나 Ry 다 놀)를 DA) + () ) 이지를 (85-+ es-1) + 125-3) + 125-1 , (100 - 0.25 -1 3.25 -4) 5 44.25 다

b ) area of one small $(21) Ax re pe sent rectangle ng Ry. Ly d) Left Right Riemann will be overestimate Riemann will be ender estimale.

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