Question: 1. A particle moves along a coordinate axis in the positive direction to the right. Its position at time t is given by S(t)

1. A particle moves along a coordinate axis in the positive direction to the right. Its position at time t is

1. A particle moves along a coordinate axis in the positive direction to the right. Its position at time t is given by S(t) = 2t + 5t, (a) Find the average rate of the change of S from t= 1 to t = 3. (b) Find the instantaneous rate of change of S at t = 2.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The average rate of change of St from t1 to t3 is given by the formul... View full answer

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!

When allocating overhead in the service sector, charging individual jobs based on full capacity utilization may: a. Be more logical and prevent underutilization of services b. Generate fewer calls...

If possible, find (a) AB (b) BA (c) A2. 1. 2. 3 1 4 1 B = [4 -2 || 2 A = 3 [4] B = 2

Rate the impact (Low, medium or high) and ease of implementation (easy, moderate, difficult) = return on investment (ROI) and add additional comments where relevant, for incorporating emotional...

Consider the finite automaton: a S b a r b a t b a) Determine if the automaton accepts the strings abab. and aabaab b) Determine if the automaton accepts the strings abbb and abbaab. c) Describe the...

A. Find the derivative of each of the following functions: f(x)= (2x 2 + 5x) ((3x+1) / (x 3 - 2)) y(x)= (2x 4 - 7) / (x 2 + x - 3) g(x)= (3x 2 - 3x + 12) (x 4 - x 2 + x - 1) g(x)= 3 csc x f(x)= 5x 2...

A particle moves along a coordinate axis with the positive direction to the right Its position at time t is given by s t t 2t 3 Find v 1 and a 1 and use these values to answer the following questions...

Activity # 2. Find the solution of each of the following optimization problems 1. A particle moves along a coordinate axis. Its position at time tis given by 50) = sin(2t) + cos(3 1'). What is the...

1. A particle moves along the x axis with its position given by 160') = 3:4 16t3 6:2 + 48t- 4 a. Find an expression for the velocity of the particle at any time t b. Find Where the particle is at...

PARTICIPATION ACTIVITY # 7 A particle moves along a coordinate axis. Its position at time t is given by s ( t ) = t 2 - 1 1 t + 2 1 . Is the particle moving from right to left or from left to right...

On January 1, 2023, Sandhill Ltd. purchased the copyright to a very famous piece of music. Sandhill paid $75,600 for the copyright. The artist died on December 31, 1999, but Sandhill had every reason...

Find Solution of differential equation of higher order., Crive n Equation (4x + 4x +1) " T - 127

Evaluate d d x e 4 x 2 3 x =

Sunlight is used in a double-slit interference experiment. The fourth-order maximum for a wavelength of 450 nm occurs at an angle of = 90o. Thus, it is on the verge of being eliminated from the...

Treat the problem of wave propagation along a string loaded with particles of two different masses, m and m, which alternate in placement; that is, Show that the w k curve has two branches in this...

Barbara weighs 60 kg and is on a diet of 1600 calories per day, of which 850 are used automatically by basal metabolism. She spends about 15 cal/kg/day times her weight doing exercise. If 1 kg of fat...

Assume that a gold nucleus has a radius of 6.23 fm and an alpha particle has a radius of 1.80 fm. What energy must an incident alpha particle have in order to "touch" the gold nucleus according to...

A string on a musical instrument is held under tension T and extends from the point x = 0 to the point x = L. The string is over wound with wire in such a way that its mass per unit length (x)...

describe the direction, form and strength of the scatter plot Options HorsePower Ratings And Expected Gas Mileage for 2003 Vehicles Gas Mileage (MPG) 23 20 15 10 130 200 230 HorsePower (HP) 300

Consider beginning with an individual of known type and mating it with a hybrid, then mating an offspring of this mating with a hybrid, and so on. At each step, an offspring is mated with a hybrid....

Consider a set of four webpages hyperlinked by the directed graph in Exercise 15. If a random surfer starts at page 1, what is the probability that the surfer will be at each of the pages after 3...

Then make a change of variable, x = Py that transform the quadratic form into one with no cross-product terms. Write the new quadratic form. 4x7-8x1x2 - 2x2

Mattson Loan Company completed these transactions: 2016 Apr. 1 Loaned $20,000 to Charlene Baker on a one-year, 5% note. Dec. 31 Accrued interest revenue on the Baker note. 2017 Apr. 1 Collected the...

Assume Loblaw Companies Limited reported these figures in millions of dollars: __________________________________________________________________2017 ________2016 Net...

Assume Black Corporation reported the following items at year-ends 2017 and 2016. Requirements 1. Compute Black's (a) acid-test ratio and (b) days' sales in average receivables for 2017. Evaluate...