Question: 1. The function v ( t ) = 9 t , 0 t 9 is the velocity in m/s of a particle moving along the

1. The functionv(t)=9t ,0t9 is the velocity in m/s of a particle moving along the x-axis. What is the particle's position at time t=9 seconds if s(0)=9

A. 6m

B. 18m

C.27m

D. 36m

E. 5Om

2. Find the area of the region bounded by the grap450Nmhs ofy=83x(x8) and y=1021x, x=2, and x=8.

A.18

B.38

C.72

D.74.25

E.198

3. Find the area of the region bounded by the graphs of y=3x6, y=2x+10, and y=0

A. 5.4

B. 5.425

C. 5.5

D. 5.55625

E. 5.625

4. A spring has a natural length of 1 meter. A force of 25 newtons stretches the spring by41 meter. How much work, measured in newton-meters, is done by stretching the spring 3 meters beyond its natural length?

A.150Nm

B.225Nm

C.445Nm

D.500Nm

E.900Nm

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

CALCULUS Avon High School Name Avan High School AP Calculus AB QUIZ 12 - Topic 4.2 Period Score / 10 Straight-Line Motion Part I. Multiple Choice Circle the best answer for each problem. Each problem...

HW S Homework: Secti... Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) = 3ti + 2t2j - 2+2k; (0, - 18, 18) .. . . . t= (Use a comma to separate...

Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x"(t) is its acceleration. A particle, initially at rest, moves along the...

Plz solve D Question 20 4 pts Calculate hydr = 19/432 -19/72 -19/216 19/432 D Question 21 4 pts Find the total area of the region between the curve and the x-axis. y - 23 + 7; 13 235 52 18 26 D...

Which of the following corresponds to the derivative of f (@) = , at x = 2, using the primary definition of a derivative, reduced to its simplest form before taking the limit? O A. f' (2) = lim -1 h...

What is the equation of the normal line to the curve y = sin (sin x ) at a = T? O A. y = C -T O B. y= - -T O C. y = TX O D. y = TX - 1 O E. y= --x-1An object moves along the x-axis so that its...

(12a) A boy kicks a rock off a cliff with a speed of 19.2 m/s at an angle of 50.0 above the horizontal. The rock hits the ground 5.59 s after it was kicked. How high is the cliff? 7.11x101 m You are...

What is the equation of the normal line to the curve y = sin (sin z ) at r = ? O A. = I - T O B. U = -T- O C. y = TI O D. y= TE- 1 O E. y= - c-1An object moves along the x-axis so that its position...

The figure shows the acceleration - versus - time graph of a particle moving along the x - axis. The initial velocity of the particle is 2 0 . 7 m / s at t = 0 s . What is the particle s velocity (...

Josh Steele manages a professional choir in a major city. His marketing plan is focused on generating additional local demand for concerts and increas-ing ticket revenue and also gaining attention at...

Marcy Hotel is a boutique hotel in the Boston downtown area. The operations manager, Jenna, needs your help to decide how many rooms (of a particular type) to book for a day. The nightly stay in...

Journal entry worksheet Record the cost of goods sold, $2,956

Describe what a Project Charter is and why is this PM tool important.

1. Empirical or factual information,

1. To take in the necessary information,

7. Find four examples that illustrate the statement: Beyond a certain point, open-ness regarding information and communication can become detrimental to relationships.