A ball is thrown upward from the top ofa building 310 feet tall. The height of the ball isdescribed by the functionh(t) = -16t2 + 30t + 310, where t is inseconds andt= 0 corresponds to the momentthe ball is thrown.a) Determine for what value of t the ball reachesthe maximum height and determine thismaximum height.t =and maximumheight =b) Determine when the ball reaches the ground.t =

Given that ht=−16t2+30t+310. a We have to determine the value of t for which the ball reaches the…

Answered: SA ball is thrown upward from the top…

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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You manufacture ceramic lawn ornaments. After several months, your accountment tells you that your profit. P(n), can be modeled by the function P(n)= -0.002n^2 + 5.2n - 1208 where n is the number of ornaments sold each month a) How many ornaments must you make and sell in order to break even? b) How many ornaments must you make and sell in order to maximize profit? c) What is the maximum profit? d) How many ornaments must you make and sell in order to earn a profit of $1657?
b(I-n) +0= ,t The water depth in a harbor is 6 m at low tide and 14 m at high tide. One cycle is completed in 12 hours. a) Find the equation for the water depth, d(t) meters, as a function of the time, h hours, after high tide, which occurred at midnight. 240 A miz b) Algebraically find the times when the level of water is 11 meters during the first 12 hours
helpp....i did half
please solve it as soon as possible
A potato is launched vertically upward with an initial velocity of 170 feet per second from a potato gun at the top of an 66-foot-tall building. The distance in feet that the potato travels from the ground after t seconds is given by s(t) 16+2 + 170t + 66. a) Find the velocity of the potato after 2.2 seconds and 7 seconds. At t = 2.2 seconds, v = At t = 7 seconds, v = feet per second. feet per second. b) Find the speed of the potato at 2.2 second and 7 seconds. At t = 2.2 seconds, the speed of the potato is At t = 7 seconds, the speed of the potato is c) Determine when the potato reaches its maximum height. t seconds Determine how long the potato is in the air. seconds. d) Find the acceleration of the potato at 2.2 seconds and 7 seconds. At t = 2.2 seconds, a = At t = 7 seconds, a = feet per second. Determine the velocity of the potato upon hitting the ground. feet per second. feet per second. feet per second per second. feet per second per second.

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