answer question number d with detail why the answer is that A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t² + 17t +0.8.Please use the differential rules for polynomial functions.a) Determine the height of the rocket after 2 s.b) Determine the rate of change of the height of the rocket after 1 s, and 3 s.c) How long does it take the rocket to hit the ground?d) How fast was the rocket travelling when it hit the ground? Explain your reasoning.e) Determine the equation of the tangent to the curve h(t) = -4.9t² + 17t + 0.8 at t = 2.5 s.

Answered: Image /qna-images/answer/4d6b7e68-fe00-49ab-a8d5-0162441865d1.jpg

Answered: d) How fast was the rocket travelling…

Math

Calculus

d) How fast was the rocket travelling when it hit the ground? Explain your reasoning.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.4: Solve Applications Modeled By Quadratic Equations

Problem 159E: A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial...

See similar textbooks

Related questions

Q: The function w() is graphed below. Find the value of each of the following integrals based on the…

Q: Use the given pair of vectors, v = (-3, 4) and w = (-6, –4), to find the following quantities. • V.…

A: . v=-3,4 and w=-6,-4 .

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A: Given that, The region R is given by:(x+4)236+(y-3)21=1

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

Q: Consider the following function on the given interval. f(t) = t-Vt, [-1, 6] Find the derivative of…

Q: 6. Does the following integral converge or diverge? If it converges, what is the value? Sdx

Q: Evaluate the integral and check your answer by differentiating. x5 + 3x² 1 x4 1³ - dx +C

A: Given data

Q: hich formula would be used to calculate the trapezoid approximation of ¹ 3x²dæ using five…

Q: Find the distance from the point (0,7,0) to the plane x + 4y + 8z = 1. The distance from the point…

A: The expression for the distance from the point Px0,y0,z0 to the plane ax+by+cz+d=0 is:…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [(9x (9x - 8)…

Q: Find the limit. lim x48 x + 7 x + 2 X

A: To evaluate the following limit. limx→∞x+7x+2x

Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

A: Using the given value we find the composition function value and value of f’(2)

Q: De Find the intervals where f(x) is increasing or decreasing. a f(x)=-x³ c_ f(x)=√√2-1 A. b…

A: **As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: this is incorrect

A: Given that, the triple integral ∭Ex+y-5zdV, where E = x,y,z | -2≤y≤0, 0≤x≤y, 0≤z≤x+y2

Q: Let i = (0,4, −4) and v = (3, −6, −4). Compute the following: u x v = v xu = ū xú 4 (u × v) = u ×…

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: Σ n=l n3 – 2n (2n + 1)3

Q: (a) Find a power series representation for the function f(x) = x cos(x³). (b) Evaluate e fac COS…

Q: Match the equation with the surface it defines. Identify the surface by type (paraboloid, ellipsoid,…

A: The given surface is:2x2+2z2=16

Q: - A boat is pulled into a dock by a rope from the bow through a ring on the dock 6 feet above the…

Q: Let y = 3x². Find the change in y, Ay when a = 2 and Ax = 0.2 Find the differential dy when x = 2…

A: y = 3x2As we know that ∆y = y( x + ∆x ) - y( x )

Q: Find the L5 (Left Riemann sum with 5 subintervals) and R5 (Right Riemann sum with 5 subintervals) of…

Q: Find the radian measure of the angle with the given degree measure. 285⁰ 1.58T X rad

Q: 1. Suppose f is a function satisfying the following conditions: lim f(x)→ ∞, lim f(x)→-∞, lim f(x) =…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

Q: the line with the equation -18x-6y=-12

A: The standard form of the equation of line in slope-intercept form is given by y=mx+b, where m is the…

Q: The graphs y = sin x and y = (-x + π/2 +1) intersect only at the point (π/2 ,1). Let R be the area…

A: Given that the graph y=sinx and y=-x + π2 +1 To find the volume of the solid of revolution obtained…

Q: Find the most general antiderivative of the function: f(x)= 5x² - 4x² + 3x x²

A: Given: f(x)=5x3-4x2+3xx2 We are required to find: Most general antiderivative of f(x)

Q: Find the maximum value of the function f(x, y) = 5x - 11y² subject to the constraint x² + 11y² = 64.

A: NOTE: Refresh your page if you can't see any equations. . the given function is here coefficient…

Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

Q: If A(x)= 5x (1) - AP() = 1 1 + f² dt then:

A: Ax=∫05x11+t2dt

Q: Consider the following. f(x, y) = x²ev, P(6, 0), u = (4i - 3j) —— (a) Find the gradient of f. Vf(x,…

Q: II. Use the definition of the d derivative of the function 1. f(x) = x 2. f(x) =3x + 2. 3. 4. f(x) =…

A: As per our guidelines we are supposed to answer only 3 sub parts of a question, please repost the…

Q: The power rule: 1x². NOTE: Enter the exact answer. 6 S[$ 1-30+ x" dx = 7 dy = r+1 + C, r = -1.

Q: The telephone calls to a U.S. Congresswoman's local office between 9:00 A.M. and 12: 00 noon are…

Q: If a rock is dropped from a height of 69 ft, its poistion t seconds after it is dropped until it…

A: If a rock is dropped from a height of 69 ft, its position t seconds after it is dropped until it…

Q: is ecsejada R={s,+ 10€ s≤1, 0≤t≤i} R =S' Stcs-t²y" dsdt answer 31 30

Q: Calculate the trapezoid approximation of ₁³x² de using four subintervals. O T5=8.75 O T5 =9.25 O T5…

Q: || || aw aw ar de when r = 8,0 = π 2

Q: Consider the function f(x) this interval. 1 on the interval [5, 12]. Find the average or mean slope…

Q: find the area between y=10 and y=9x^(2 ) for -1<=x<=1

A: y=10 & y= 9x2 Wr have to find area between above curve from x=-1 to x= 1

Q: Let a = ci + j and b = 6i + 8j. Find c so that the angle between a and bis Round your answers to…

Q: Given the points A(3, 4, 5) and B(9,- 2, 7), write a vector equation and the parametric equations of…

Q: Find the derivative of the function. f'(x) = f(x) = In(8x)

Q: The functions f and g are integrable and f(x) dx = 3, through (f). 4 a. Ĵrix)dx= 4 7 7 and [note2.…

Q: Depreciation of Equipment For assets such as machines, whose market values drop rapidly in the early…

Q: Evaluate logg (3)-log, (192) without the use of a calculator.

Q: (B) Find the general solution of x2y"-9xy' +25y = xº.

A: We use Cauch-Eulers differential equation to solve the given DE and then use techniques of higher…

Q: A. Perform Partial Fraction Decomposition of technology to solve the linear system. B. A town wants…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: A cone-shaped paper drinking cup is to be made to hold 36 cm³ of water. Find the height and radius…

Q: Find the maximum value of the function f(x, y) = 22x³/2y subject to the constraint x+y=45. Round…

A: We need to find maximum value.

Question

answer question number d

with detail why the answer is that

A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t² + 17t +0.8.
Please use the differential rules for polynomial functions.
a) Determine the height of the rocket after 2 s.
b) Determine the rate of change of the height of the rocket after 1 s, and 3 s.
c) How long does it take the rocket to hit the ground?
d) How fast was the rocket travelling when it hit the ground? Explain your reasoning.
e) Determine the equation of the tangent to the curve h(t) = -4.9t² + 17t + 0.8 at t = 2.5 s.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Velocity at time t

VIEW

Step 2: velocity when hit the ground

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
The feed of a drill is the depth of material that the drill penetrates in one revolution. The total depth of penetration equals the product of the number of revolutions and the feed. Compute the feed of a drill that cuts to a depth of 3.300 inches while turning 500.0 revolutions.
Write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.
Determine the and behavior of the polynomial function. f(x)=2x2(43x5x2)
Find the difference quotient. f(x)=x2x+5