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water balloon is catapulted into the air so that its height h, in meters, after t seconds is =49+2 +27t + 2.4.

water balloon is catapulted into the air so that its height h, in meters, after t seconds is =49+2 +27t + 2.4.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can someone please help with D? Thank you.
water balloon is catapulted into the air so that its height h, in meters, after t seconds is 49+2 +27t + 2.4. a) How high is the balloon after 1 second? hll): -4.9115² +27 +2.4 h(1) = 24.5m. b) For how long is the balloon more than 30 m high? h = 30 -4.9t² +27t +2.4 = 30 4.97²-27++27.630 t=27± √√√(27) ²-4 (4.9) (27.6) 2(4.9) c) What is the maximum height of the balloon? = -9,8€ +27=0 dh dt t=2.75510 h(2.755)=-4.9 (2.755)² +27 (2.755) +2.4 = 39.594m d) When will the balloon burst as it hits the ground? 0=-4.92² +272+2.4 36=-4.96² +276+2.4 27 ± √188.04 9.8 t=1.356 = 4,154-1.356 = 2.798 seconds += 4.154
Transcribed Image Text:water balloon is catapulted into the air so that its height h, in meters, after t seconds is 49+2 +27t + 2.4. a) How high is the balloon after 1 second? hll): -4.9115² +27 +2.4 h(1) = 24.5m. b) For how long is the balloon more than 30 m high? h = 30 -4.9t² +27t +2.4 = 30 4.97²-27++27.630 t=27± √√√(27) ²-4 (4.9) (27.6) 2(4.9) c) What is the maximum height of the balloon? = -9,8€ +27=0 dh dt t=2.75510 h(2.755)=-4.9 (2.755)² +27 (2.755) +2.4 = 39.594m d) When will the balloon burst as it hits the ground? 0=-4.92² +272+2.4 36=-4.96² +276+2.4 27 ± √188.04 9.8 t=1.356 = 4,154-1.356 = 2.798 seconds += 4.154
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