Evaluate the function to answer the question.The height h, in feet, of a ball that is released 5 ft above the ground with an initial upward velocity of 90 ft/s is a function of the time t, in seconds, the ball s in the air and is given by the following: (in the picture)(a) Find the height of the ball (in feet) above the ground 2s after it is released.? ft(b) Find the height of the ball (in feet) above the ground 4s after it is released.? ft 10. [-/1 Points]Evaluate the function to answer the question.The height h, in feet, of a ball that is released 5 ft above the ground with an initial upwardh(t) = -16t² + 90t + 5,0 ≤ t ≤ 5.68(a) Find the height of the ball (in feet) above the ground 2 s after it is released.ftDETAILS AUFQR1 5.1.009.(b) Find the height of the ball (in feet) above the ground 4 s after it is released.ftNeed Help?11. [-/1 Points]Read ItDETAILSAUFQR1 5.1.011.

Answered: Evaluate the function to answer the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Jerry is driving across the country at a constant speed. Jerry enters Intersate 90 and and starts a clock as he passes mile marker 52. After 5.4 hours, Jerry passes miles marker 484. Represent the time elapsed in hours using the independent variable t. Represent the mile marker passed at time t with the dependent variable x. At what speed is Jerry driving? miles per hour Write a formula to compute the mile marker x as a function of t. x= What mile marker is Jerry passing when 8.6 hours have elapsed?
The amount of growth of plants in an ungrazed pasture is a function of the amount of plant biomass already present and the amount of rainfall.t For a pasture in the arid zone of Australia, the following formula gives an approximation of the growth. Y = -55.12 - 0.01535N - 0.00056N? + 3.946R Here Ris the amount of rainfall, in millimeters, over a 3-month period, Nis the plant biomass, in kilograms per hectare, at the beginning of that period, and Y is the growth, in kilograms per hectare, of the biomass over that period. (For comparison, 100 millimeters is about 3.9 inches, and 100 kilograms per hectare is about 89 pounds per acre.) Now we consider the amount of growth Y as a function of the amount of plant biomass N already present. (a) First we assume that the rainfall is 80 millimeters, so R = 80. (1) Find a formula for the growth Y as a function of the amount N of plant biomass already present. kg/ha (ii) Make a graph of Y versus N. Include biomass levels N from 0 to 800 kilograms…

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