Suppose the motion of an object can be modeled using the equation s(t) = 5.1sin(2t) where time is measured in seconds and distance is measured in inches. Find the first (positive) time t that the object reaches its highest position

Suppose the motion of an object can be modeled using the equation s(t) = 5.1sin(2t) where time is measured in seconds and distance is measured in inches. Find the first (positive) time t that the object reaches its highest position

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....

See similar textbooks

Related questions

Q: Which of the following is the simplified expression of 1- 1 sece -cos?

A: SOLUTION-

Q: the radian measure of angle 0.

Q: Determine the angle between 0 and 2n that is coterminal to 960°.

A: Given query is to find coterminal angle.

Q: d. What are the values of a, b, and c? e. What are the coordinates of the foci? f. What are the…

Q: Graph (at least) one complete cycle of the graph. y = 1 + 2 sin(2x + 7)

A: Given y = -1+2 sin(2x+π)

Q: ¹ ( 17 - x)² 2 Which of the following shows the simplified function of CSC x sin

Q: Which of these shows the graph of f(x)= −1/3 cos(4x)?

Q: sin (1-x) ² Which of the following shows the simplified function of secxsin

Q: 1. Find AB (2.dp) C 41 13 29 A B

A: Given: Find AB

Q: The bookstore marked some notepads down from $4.00 but still kept the price over $3.00. It sold all…

Q: 3. Find the x to the nearest whole number. Y 148 X 12 25 X Z

A: Triangle ∆ YXZ XY=12 XZ=25 ∠ XYZ=148

Q: Two buildings on a block are 40 meters apart. From a point on the top of the first building, the…

Q: Given the triangle below, find the angle 0. 0 10 9 Give your answer in degrees rounded to the…

Q: Write this pair of parametric equation in rectangular form. x=t^2/4, y=t.

A: Given parametric equation:- y=t,x=t24

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 46°, a = 27, b = 28. If no…

Q: y=-2 sin(6x + π) Find the period, the amplitude, and the phase shift of the graph of the function.…

Q: The following ordered pairs represent a function. (-2, -4) (-1, -2) (0, 0) (1, 2) (2, 4) Which two…

Q: The first term of an arithmetic sequence is −12. The common difference of the sequence is 7. What…

Q: For the function f(x) = 3x2 + 10x − 2, evaluate (a) f(−1) (b) f(6).

A: The given function is: fx=3x2+10x-2

Q: Determine sin (cos s) if s=-1650 Provide your answer below:

Q: Find the values of the trigonometric functions of t from the given information. 15 sin(t) > 0 8…

Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

Q: 8. By inspection, find the following integral 1 2(5-3x)3 √ ₂ dx

A: K=∫12(5-3x)3dx∫xndx=xn+1n+1+c

Q: Find the exact function value. 3x cot A

Q: Which of the following is equivalent to Select the correct answer below: O cot²0 sin Otan 0 sec²0…

A: As we know from the trigonometric identities. 1). sin2x+cos2x=1 2). cotx=cosxsinx Given:…

Q: Find 2 angles one positive the other negative coterminal to -271°

A: Given query is to find coterminal angle.

Q: 2) The range R of a projectile is related to the initial velocity v and projection angle 2) 0 by the…

A: we do only first part of multiple questionsR=v2sin2θggiven g is constant d dt(a.b)=adbdt+bdadt

Q: (b) Find an angle between 0 and 2pi that is coterminal with - (4pi)/7

A: We have given an angle θ=-4π7 Coterminal angle is given as θc=2kπ+θ Where, k, is any integer. To…

Q: 10X

A: Sum of angle of triangle is 180°

Q: A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle…

A: Question 5 Given Data : Two people starts at the right angle of the triangle at same time and walk…

Q: Use the information provided to write the standard form equation of each hyperbola. 9) Vertices:…

A: Topic = Hyperbola

Q: On the graph of f(x) = cos x and the interval [2, 4), for what value of x does f (x) achieve a…

A: Given query is to find the points where cosx is maximum.

Q: Write the equation for the parabola in vertex form. Identify the vertex, axis of symmetry, and…

Q: 3. Find the arc length s. r = 5 cm 0= 135°

Q: Find the exact function value. 5x tan 5x tan (Simplify your answer, including any radicals. Use…

Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

Q: Given the vectors u and v shown here (where the x- and y-grids each have scale 1):

Q: 17) y=x√√5x+8 A) dy 15x + 16 2√√√5x+8 dx 15x + 16 √√5x+8 e the differential to approximate the qu C)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: the addition and use the fu (sinx)/(1+cosx)+(1+cosx)/(sinx)

Q: What is the 5th term in the expansion of (2x²y³ – ¹y)° O 14.25x7 y 20 15.75x10 y 19 15.05x¹0y17…

A: Given: 2x2y3-14y9=2x2y3-y49

Q: The length of the longer base of an isosceles trapezoid is 12 cm. The length of each side is 5 cm.…

Q: 3.3.63 s=radians (Round to four decimal places as needed.)

Q: 3) 9x² - 25y² +50y - 250 = 0

Q: 15. Tan 150 =

Q: or the parabola given by x² = -25y, what is the equation for the directrix? Oy= 6.25 x = -6.25 x =…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Everybody's blood pressure varies over the course of the day. In a certain individual the resting…

Q: For the equation, identify the amplitude, period, and phase shift and sketch (at least) one complete…

A: Solution: y=cos2x+π2

Q: 6) Vertices: (7, 10), (-11, 10) Endpoints of Conjugate Axis: (-2, 21) (-2,-1)

Q: Considering only the values of a for which 1 -? sec a tan a 1 sec a tan a is defined, which of the…

Q: Given sine 32/5 which of the following can be proven using a Pythagorean identity? 5 and cose=

Question

Suppose the motion of an object can be modeled using the equation

s(t) = 5.1sin(2t)

where time is measured in seconds and distance is measured in inches. Find the first (positive) time t that the object reaches its highest position.

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?