Use the position function ?(?) = −16?^ 2 + ?0? + ?0 for the following vertical...

Use the position function ?(?) = −16?^ 2 + ?0? + ?0 for the following vertical motion of objects on earth.

5) An object is launched vertically from a 75ft building with an initial velocity of 240 ft/sec.

a) Find the velocity of the object 2 second after launch. Is it travelling up or down?

b) When will the object reaches its maximum height?

c) How long will the object travel in the air? (Hint: how long does it take to hit the ground?)

d) Determine the velocity when the subject hits the ground.

6) An object is fired downward with a speed of 12ft/sec from the top of a 80ft building.

a) Write the position function ?(?) that represents the height of the object, in feet, from the ground.

b) Determine the time for the object to hit the ground.

c) Determine the velocity at impact

Expert Solution

milcah answered 2 years ago

Determine the equation of a sine or cosine function for the vertical position, in metres, of...

Determine the equation of a sine or cosine function for the vertical position, in metres, of a rider on a Ferris Wheel, after a certain amount of time, in seconds. The maximum height above the ground is 26 metres and the minimum height is 2 metres. The wheel completes one turn in 60 seconds. Assume that the lowest point is at time = 0 seconds.

Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t ,0} piecewise function 0≤t<2 , t≥2...

Use Laplace Transforms to solve the following IVPs . y′′+9y={2−t ,0} piecewise function 0≤t<2 , t≥2 ;y(0)=1 ,y′(0)=0

Consider the given matrix. 3 0 0 0 2 0 16 ...

Consider the given matrix. 3 0 0 0 2 0 16 0 1 Find the eigenvalues. (Enter your answers as a comma-separated list.) λ = 1,2,3 Find the eigenvectors. (Enter your answers in order of the corresponding eigenvalues, from smallest eigenvalue to largest.)

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote. f(x) = 1/x -0 2

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote.f(x) = 1/x -0 2

Find the vertical asymptotes (if any) of the graph of the function. (Use n as an...

Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.) h(x) = x2 − 9 x3 + 3x2 − x − 3 (line in the middle of both functions is a division line)

Question Consider the function ?(?) = ??2 and x = 0, 0.25, 0.5, 1. Then use...

Question Consider the function ?(?) = ??2 and x = 0, 0.25, 0.5, 1. Then use the suitable Newton interpolating polynomial to approximate f(0.75). Also, compute an error bound for your approximation Dont use a sheet to solve thanks numerical methods

Find y as a function of x if y''''−4y'''+4y''=−128e^{-2x} y(0)=2, y′(0)=9, y″(0)=−4, y‴(0)=16. y(x)=?

1. For the following function ?(?) = (?^2−8?+16) / (?^2−4) a. Find the critical values b....

1. For the following function ?(?) = (?^2−8?+16) / (?^2−4) a. Find the critical values b. Use the FIRST DERIVATIVE TEST to determine the intervals where the function is INCREASING and DECREASING. c. Find the RELATIVE EXTREMA of the function and state where they occur. d. Find the ABSOLUTE EXTREMA of the function on the interval [−1, 1.75]

Use the Data Below to answer the following question below 0 0 2 0 5 3...

Use the Data Below to answer the following question below 0 0 2 0 5 3 1 12 0 0 0 1 6 0 1 1 2 8 1 3 1 6 2 4 0 16 17 0 8 0 3 0 0 1 2 5 2 0 2 1 5 0 7 0 1 0 0 1 0 0 3 1 9 4 1 3 0 1 1 1 0 7 1 9 2 0 1 1 1 1...

The function s=−t^3+12t^2−48t , 0≤t≤5, gives the position of a body moving on a coordinate line,...

The function s=−t^3+12t^2−48t , 0≤t≤5, gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction?

Question