A rock is thrown off a bridge into the water. The path of the rock can be modeled by the function h=-4.9t^2 +18t +15 where h=height in metres and t=time in seconds. a. When will the rock hit the water? b. For how long will the rock be above 20m? c. What is the maximum height that the rock reaches?

A rock is thrown off a bridge into the water. The path of the rock can be modeled by the function h=-4.9t^2 +18t +15 where h=height in metres and t=time in seconds. a. When will the rock hit the water? b. For how long will the rock be above 20m? c. What is the maximum height that the rock reaches?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: B. INSTRUCTION: Graph the following piece-wise function 2. f(x) = (6x - 2, x> 0 3x - 2, ISO

A: we have to draw the graph

Q: 4. Given the function y = (3 - 2x²)/(1- x -2x?), (a) Find the difference quotient Ду/Дх.

A: Topic:- Difference quotient

Q: 3. Complete the table for the equation y = 2" + 1. -3 -2 -1 0 2 3 4 a) Is this a function? y b)…

A: Given, The equation y = 2x +1 We have to solve for part (a) and part (b)

Q: T represent the number of years in 2000. I’m 2005 t= 5 there were 9.3 billion monthly text messages.…

A: Given function :

Q: Write an equation for a function that has the graph with the shape of y= x, but reflected across the…

A: We can find the answer as below

Q: Assume that X represents the amount of weekly rainfall and Y represents the amount of weekly grass…

A: The coefficient of determination, Ro = 0.45 Let, X represents the amount of weekly rainfall and Y…

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: D.FFerenticate the function. y = ( 7 x-6) ³ 10d to у

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

Q: The height of an object, h, in feet when dropped from a height of 1250 feet is given by the function…

A: The given problem is to find the height of the object after 8.5 seconds being dropped from the given…

Q: y = -2r + 5t + 7 y represents the volume of water in the tank in gallons and t represents the time…

A: y = -2t2+5t+7for maximum volume , dydt= 0 -4t +5=0t= 1.25 days

Q: If a R12000 refrigerator depreciates completely in 10 years. Find the formula for its value as a…

A: The equation for a function can be obtained by using the values given of the function at different…

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

A: Given: Diana Nyad completed a 110-mile journey. a. As she took 1.9 miles per hour to complete this…

Q: 8. A car manufacturer determines that its profit odeled by the function P(x) = 0.00125x4 + x - 3, wi…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given, S= 10T² + 4 Yes, here S is function of T. Thus, S = f(T) = 10T² + 4

Q: of

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: A right triangle cylinder has a base diameter (d). Express the volume (v) of the cylinder as a…

Q: every Saturday morning,you go for a jog.the distance you jog can be modeled by the equation…

A: every Saturday morning,you go for a jog.the distance you jog can be modelled by the equation…

Q: ball is thrown in the air from the top of a building. Its height, in meters above ground, as a…

A: The equation of the height of the ball is ht=-4.9t2+14t+8, where height is in meters and t is in…

Q: The height (in meters) of a ballistic t seconds after being launched is modeled by the function h…

A: For an equation for distance, with respect to time, we can find the velocity and acceleration, by…

Q: NASA launches a rocket at �=0 seconds. Suppose its height, in meters above sea-level, as a function…

A: The objective of the question is to find the maximum height reached by the rocket. This can be found…

Q: 0001.08x describes the growth of an investment (in dollars) based on the number of years it's been…

A: Basic calculation

Question

100%

A rock is thrown off a bridge into the water. The path of the rock can be modeled by the function h=-4.9t^2 +18t +15 where h=height in metres and t=time in seconds.

a. When will the rock hit the water?

b. For how long will the rock be above 20m?

c. What is the maximum height that the rock reaches?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

After I distribute 12.5 throughout the equation, can you break down the steps before I graph
The side view of a suspension bridge can be modelled by the equation f(x) = 0.000972 2x² - 1.167x where x is the horizontal distance in metres and f(x) is the depth in metres. a Plot the graph of the function. b Find the coordinates of the points where the graph crosses the x-axis. c Use these values to write down the equation of the axis of symmetry. Use part c to find the y-coordinate of the minimum. d e Describe, in this context, what the minimum point represents.
c please answer
Isabel wanted to study how the area of a rectangle changes with the length if its width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then plotted the results and connected them with a line, as shown below. The graph shows the area (in mm) versus the length (in mm). Find the domain and the range of the function shown. Area (mm) 14 Length (mm)
The thickness of ice y in the Gladstone Glacier was 450 feet in 1990. By 2005, the thickness had shrunk to 400 feet. Let x be the elapsed number of years since 1990. Write a linear function that models this data. Then use the function to find the given value. (Simplify your answer and round to TWO decimal places, including zeros as needed. Example: 2 should be written as 2.00. Do not include commas.) Estimate the year when the Gladstone Glacier will be 350 feet thick. (Round your answer to TWO decimal places, including zeros as needed. Example: 2 should be written as 2.00. Do not include commas.)
The height of a ball being thrown off a roof can be modelled by the function: h (t) =-5t +15t +20, where h is the height in metres and t is the time in seconds. Determine when the ball hits the ground and the speed it is traveling (IROC) at that time. 目
follow the hint and write the solution clearly(step by step)
A soccer ball is kicked from the ground with an intitial upward velocity of 90 feet per second. The equation h(t)= -16t2+90t gives the height h of the ball after t seconds. Give the domain and range of the function.
The path of a soccer ball can be modelled by the function h(d) = ‒0.1d2 + 0.5d + 0.6 where h = the height of the ball and d is the horizontal distance from the kicker, both in meters. How far from the kicker did the ball land? Answer step-by-steps.
Represent t(100) as a table of values for speed from 5 meters per second to 10 meters per second.
3. A child holds a ball 4 feet above the ground and throws it. The ball follows a parabolic path reaching a maximum height of 8 feet when the ball is 3.5 = 7/2 horizontal feet from the boy. Write a function representing the height H of the ball as a function in terms of the horizontal distance d. Equation: NO DECIMALS.
A variable star is one whose brightness alternately increases and decreases. For the variable star Delta Cephei, the time between periods of maximum brightness is 5 days. The average brightness ( or magnitude) of the star is 4 and its brightness varies by ±0.35 magnitude. Suppose the brightness of the star can be modeled by the equation y =acosbt + d. a. What is the value of b? b. Find a function that models the brightness of Delta Cephei as a function of time.