The Hubble Space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. A model for the velocity of the shuttle during this mission, from liftoff at t = 0 until the solid rocket boosters were jettisoned at t = 125 seconds, is given by v(t) = 0.00146t3 – 0.11553t2 + 24.98169t – 21.26872 (in feet per second). Using this model, estimate the absolute maximum and minimum values of acceleration of the shuttle between liftoff and the jettisoning of the boosters.

Question

The Hubble Space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. A model for the velocity of the shuttle during this mission, from liftoff at t = 0 until the solid rocket boosters were jettisoned at t = 125 seconds, is given by
v(t) = 0.00146t3 – 0.11553t2 + 24.98169t – 21.26872

(in feet per second). Using this model, estimate the absolute maximum and minimum values of acceleration of the shuttle between liftoff and the jettisoning of the boosters.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Applications of Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: On the topic of Area & Arc Length in Polar Coordinates How would I go about finding the area of ...

A: Given: The region is three petals of r=cos9θ. Formula for area in polar cordinates: A=12∫βαfθ2dθ and...

Q: The correct answer is B, but I don't understand how to do the work for this problem. Can you help me...

A: Given, f(3)=11 f'(x) is continuous everywhere, ∫43f'(x)dx=16

Q: What is the limiting behavior of each growth function as t o? 0.04 (a) y = 1 + 2e -3t As t o, y(t) a...

A: Click to see the answer

Q: Suppose that the demand x (in units) for a product is x = 6,000 - 50p, where p %3D dollars is the ma...

A: Given that:                      E = 6000p - 50p2                                For maximum E,     ...

Q: 3. Find values. (a) Find all values of z for which e = –1+ V3i. iz3 + iz – 1 (b) Evaluate: lim z400 ...

A: Click to see the answer

Q: A point on the terminal side of angle θ is given (5, -5).Find the exact value of each of the six tri...

A: The given point is (5,-5). This means the x- values of the coordinate point are 5 and the y-value of...

Q: Critical points   g(h)=( (sin h) ((cos h)^2)))   - ( (cot h)/ h ) + 11

A: The expression g(h)=sinhcos2h-cothh+11. We have to find the critical point for this given expression...

Q: Calculate the deriv L tan2tdt d_ dx II

A: Derivation of          is calculated as shown below   

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: A motor vehicle has a maximum efficiency of 32 mpg at a cruising speed of 40 mph. The efficiency dro...

A: Click to see the answer

Q: 1-z² ¡dz. Evaluate the indefinite integral J 1-z4

A: Click to see the answer

Q: Consider the function, y= 5 sin 1.5 (x+60°)-5. Determine: a. The midline of the function. b. The per...

A: Given function is y=5sin1.5x+60°-5

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

A: Consider the constant function. fx=1 Clearly, f''2=0. But the graph of constant function is a line a...

Q: Please help me! Thank you!

A: Click to see the answer

Q: Consider the following. P(x) = 4x4 − 13x3 + 19x2 + 28x − 8 Find all the zeros of the polynomial fu...

A: Real roots x=−1 x=1/4 Complex roots x=2−2i x=2+2i   Answer: -1, 1/4, 2-2i, 2+2i . 

Q: For the DE (D^2 - 2D - 3)y = 0, Find the value of y when x =1, for the particular solution that has ...

A: Click to see the answer

Q: Find the particular solution of the differential equation that satisfies the initial condition(s). ...

A: Given, f''(x)=sinx,f'(0)=3,f(0)=15

Q: Use any method to find the relative extrema of the function f. f (x) = In(11+a4). Use the notation (...

A: Click to see the answer

Q: Write a simpler function that agrees with the given function at all but one point. Use a graphing ut...

A: To write the simpler function limx→1e2x-1ex-1 Solution: We know that a2-b2=a+ba-b Therefore, limx→1e...

Q: Calculus Question

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: Use a Riemann sum with m = n = 2 to estimate the value of I/ Vi+z+y³ dA y3 dA R over R = [1,2] × [0,...

A: Given, ∫∫R1+x+y3dA Use Riemann sum with m=n=2, over R=[1,2]×[0,3]={(x,y)∈R2:1≤x≤2 and 0≤y≤3}

Q: Expand xy² + 2x – 3y in powers of (x + 2) and (y – 1) upto third degree | terms.

A: Given ,  f(x,y) = xy2 + 2x - 3y  By Taylor's theorem  f(x,y) = f(a,b) + {(x-a)fx(a,b) + (y-b)fy(a,b)...

Q: 2. Find the exact value of x for the following equations. (a) 5- In(2 – x) = 0 . (b) 16***-8"-³=0 .

A: Click to see the answer

Q: Calculate the derivative: * So (25 – 71) dt = d dx

A: Click to see the answer

Q: Find the radius and interval of convergence (assume the series converges at the endpoints of the int...

A: Click to see the answer

Q: Use any method to find the relative extrema of the function f (x) = 30x + 31xa. If there is no relat...

A: f(x)=30x+31x131 To Find: relative maximum and minimum