An automobile starts from rest and travels down a straight section of road. The distance s (in feet) of the car from the starting position after t seconds is given by S(t) = 5t (a) Find the instantaneous velocity (in feet per second) at t = 2 seconds ft/s Instantaneous velocity at t = 2 is (b) Find the instantaneous velocity in (feet per second) at t = 9 seconds. ft/s Instantaneous velocity at t = 9 is

Question

HELP ME BEFORE 11:59pm

An automobile starts from rest and travels down a straight section of road. The distance s (in feet) of the car from the starting position after t
seconds is given by S(t) = 5t
(a) Find the instantaneous velocity (in feet per second) at t = 2 seconds
ft/s
Instantaneous velocity at t = 2 is
(b) Find the instantaneous velocity in (feet per second) at t = 9 seconds.
ft/s
Instantaneous velocity at t = 9 is
Expand
Transcribed Image Text

An automobile starts from rest and travels down a straight section of road. The distance s (in feet) of the car from the starting position after t seconds is given by S(t) = 5t (a) Find the instantaneous velocity (in feet per second) at t = 2 seconds ft/s Instantaneous velocity at t = 2 is (b) Find the instantaneous velocity in (feet per second) at t = 9 seconds. ft/s Instantaneous velocity at t = 9 is

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

Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: How do you solve this?

A: Click to see the answer

Q: step by step please.

A: Given,

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. ∫2x8ex3...

A: Take the constant out of the integral sign,

Q: how to solve problem in photo attached

A: Given:

Q: dt = (c) (9+t2)3/2

A: Given:

Q: 2. Microtutorial eled by the equation The Pacific halibut fishery has been mod- 8 x 107 B(t) 11 1 +3...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Can you help with this problem step by step?

A: Given function is

Q: Find the area of the region bounded by x = y^2 - 2, y = ln x, y = -1, and y = 1. Sketch the region.

A: We graph the functions first. We need to find the area of the shaded region.y=lnx => x= e^y

Q: Can you help with this problem step by step?

A: given function is

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Can you help me step by step?

A: Click to see the answer

Q: A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 6....

A: This can be solved with Cylindrical Shells.With radius = x, from 2 to 5.And height = 2y , where y= s...

Q: Let f(x,y)= 3+cos(x) sin(2y) a) Show that the function has a stationary point at (0,Pi/4). b) Is (0,...

A: To analyze the critical point (0,pi/4) of the given function of two variables

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: step by step , i think these two problems is using the compound interest formula

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: find the intervals on which f is increasing and decreasing. f(x)= sin^2x on [-pi,pi]

A: Given a function and interval,

Q: I need help with question 17 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: We will use the formula of tanh(x).  

Q: Can you help with this problem step by step?

A: Given function is

Q: Solve the IVP: y" - 5/ + 4y = 0, y(0) = -3, / (0) = 3 О у 3 Зе 6 y=-5e 2e 4 O y 2e4r 5е"

A: To find y=y(x) satisfying all the given conditions in the initial value problem 

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line tange...

A: Slope of tangent line is ½. So the equation is of the form: 

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The given composite function is,

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. f...

A: Considering f(x) = 9 – 5x. To find the approximate derivative of f(x) at x = 2.

Q: Differentiate the function g(x) = ln(xe-2x).

A: Given function is,

Q: When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past...

A: Differentiate F with respect to R to get 

Q: Use an Addition or Subtraction Formula to simplify the equation. sin(3θ) cos(θ) − cos(3θ) sin(θ) = 0...

A: Given expression;

Q: Can you help with this problem step by step?

A: Given,

Q: Please answer question d, for h(x) = 5x^3 - 3x^5

A: Using Wolfram alpha the graph of the function is as shown below 

Q: 1. Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theo...

A: Given that the interval of the function is [0 ,8]

Q: Can you do question 21 and show the steps

A: the equation of line.

Q: Given function, find the inverse function Question Find the inverse of the following function. -8x2-...

A: The given function is

Q: If f(3) = 14 and f '(x) ≥ 2 for 3 ≤ x ≤ 5, how small can f(5) possibly be?

A: The given conditions are,

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: Calculus Question

A: To check the concavity of a given function f(x) first we need to find the f ''(x).If the value of f ...

Q: find the derivative 1).f(x)=X^3(X^4/3-1)                                                            ...

A: 1)

Q: Find the centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve: 

Q: A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find tan B, sin...

A: To determine the basic trigonometric ratios of the given angles

Q: An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to...

A: Click to see the answer

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: You are tasked with constructing a rectangular box with a square base, an open top, and a volume of ...

A: Click to see the answer