The formula h =--gt² +vot + ho can be used to model the height of a projectile, where g is acceleration due to gravity, which is 9.8 m/s² on Earth, v, is the initial vertical velocity, in metres per second, and h, is the initial height, in metres. a) Create a quadratic model for a volleyball served at 14 m/s from a height of 2.5 m above the court, where h is the height, in metres, and t is the time in seconds, after the ball is served. b) How long is the volleyball in the air if the opposing team misses the return? c) What is the maximum height of the volleyball? When does this occur? Round answer to the nearest tenth.

Q: A rock is thrown in the air. The height is measured until it returns to the ground 9 seconds later.…

A: The height of the rock is measured by the function .We have to find,(a) The velocity of the rock…

Q: A is ball thrown off of a roof has a path that can be modelled by the equation h = -3(t - 2)^2 + 75,…

A: a) Given that,  the equation is h=-3t-22+75. Find the first derivative of the function as follows,…

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Q: a) Draw a picture that shows what is going on and label the important variables. b) Set up an…

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Q: UST Eco-Tiger vehicle climbed to a hill which is defined by the equation, x² from point A with a…

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Q: A golf ball is hit and the flight of the ball can be modelled by the equation, h(t) = -4.9² + 10t +…

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Q: According to Archimedes' principle, the buoyancy force acting on an object that is partially…

A: clc;close all;clear all;syms x;n = 5; %the accurate number of decimal…

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2,000 - 0.005x - 0.01y,…

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Q: The 238000-lb space-shuttle orbiter touches down at about 233 mi/hr. At 198 mi/hr its drag parachute…

A: The 238000-lb space-shuttle arbiter touches down at about 233 mi/hr. At 198 mi/hr its drag parachute…

Q: 11. A ball is shot from a cannon into the air with an upward velocity of 40 ft/sec. The quadratic…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1) Football travels through the air followed by the function h(t)= -4.9t^2+16t+1 where h is the…

A: Given , football travel followed by the function  h(t) =-4.9t2 +16t +1       .. .. .. .. .. ..(1)…

Q: A rocket is fired into the air from a table that is 3 feet above the ground with an initial velocity…

A: Given, Position function : h(t) = -16t2 +100t+3 a) Velocity function : v(t) = h'(t) = -32t + 100…

Q: 11. AN OBJECT IS TOSSED VERTICALLY UPWARD WITH A VELOCITY OF 128 ft/sec AND REACHES A НEIGHT OF s(t)…

A: s(t) = -16t2+128tv(t) = ddts(t)v(t) = -16×2×t+128v(t) = -32t +128

Q: a quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25. the height…

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Q: 1. A tower is 500 m tall. A ball is thrown downward at an initial velocity of 2 m/s. The height of…

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