Sunday

November 29, 2015
Number of results: 36,972

**Fundamental Theorm of Calculus**

Find the average value of f(x)=7x^{-2} on the interval [1,5]
*November 20, 2013 by Chrissy*

**physics**

. A race car moves such that its position fits the relationship x = (5.0 m/s)t + (0.75 m/s3)t3 where x is measured in meters and in t in seconds. (a) Plot a graph of the car’s position versus time. (b) Determine the instantaneous velocity of the car at t= 4.0 s, using time ...
*September 24, 2012 by shiranee*

**Integral calculus**

A particle is put inside an accelerator at time t=0. After t sec, its velocity is 10^5t^2 m/s. How far does the particle move during the first 10**-2 sec? distance= int velocity dt = INT 1E5 t^2 dt limits 0 to 1E-2 sec
*April 13, 2007 by Febby*

**CALCULUS**

if a ball is thrown vertically upward with a velocity of 80m/s then its height after t seconds is s=80t-16t^2 a) what is the maximum height reached by the ball? b)what is the velocity of the ball when it is 96 ft above the ground on its way up? on its way down?
*October 28, 2007 by matttt*

**calculus**

a revolving light is located at 5 km from a straight shoreline with a constant angular velocity. what velocity does the light revolve if the light moves along the shoreline at the rate of 15km/min when the beam of light makes a angle of 60 with the shoreline?
*September 3, 2014 by dinesh*

**physics**

need help with this physics questions a jogger runs with a velocity of 6km/h 25 degrees north west for 35 minutes and then changes direction , jogging for 20 minutes at 4.5km/h 65 degrees east of north. using a vector diagram determine the joggers total displacement and his ...
*March 1, 2010 by jake*

**Math**

The location of an object on the x-axis at time t seconds is given by x(t)= a + mt, where a, m are constants. (a) Where is the object located at time t=1? x(1)= a+m(1) = a+m (b) What is the average velocity of the object between 1 and 2 seconds? x(2)-x(1)/(2-1) a+2m-(a+m)=m (c...
*January 18, 2010 by SC*

**physics**

Motion in a Circle A particle P travels with constant speed in a circle of radius 5.6 m and completes one revolution in 36.0 s. The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval from t = 3.6 s and t = 12.5 s. What is ...
*September 18, 2009 by AK*

**physics**

A 1.5-kg playground ball is moving with a velocity of 3.0 m/s directed 30 ° below thehorizontal just before it strikes a horizontal surface. The ball leaves this surface 0.50 slater with a velocity of 2.0 m/s directed 60 ° above the horizontal. What is themagnitude of the ...
*August 12, 2012 by Ben*

**Business Calculus**

A company has operating costs of $2000 per thousand items produced. Its revenue function can be modeled by the equation: R(x)=30x/(x+2)² , where x is measured in thousands of items produced, and C and R are measured in thousands of dollars (so C(x)=2). 1. Determine the price-...
*March 25, 2011 by Adriana*

**calculus**

A person is jumping straight up and down on a trampoline. The height of the center of mass of the person is measured every tenth of a second. It takes just over one second to complete one full bounce. (If you want to see the data, look at the video above.) t (seconds) 2.90 3....
*August 12, 2015 by JuanPro*

**Physics Help!!!!**

A runner in a relay race runs 20m north, turns around and runs south for 30 m, then turns north again and runs 40m. the entire run took 30 seconds. what was the average speed of the runner? what was the average velocity of the runner?
*August 30, 2014 by Kim*

**ENG102**

Question 1. A car moves 26 km due east then 14 km due north. It then turns along a path running north-east with 15 km, then 17 km due west. If the time for the entire journey is 2 hrs, Find; (a) the car’s average speed in m/s (b) the car’s average velocity in km/h
*May 1, 2012 by DESMOND*

**University of Ghana**

• A car moves 26 km due east then 14 km due north. It then turns along a path running north-west with 15 km, then 17 km due west. If the time for the entire journey is 2 hrs. • Find; • (a) the car’s average speed in m/s • (b) the car’s average velocity in km/h
*March 23, 2013 by Daniel*

**english**

1. He is of average height. 2. He is around average height. 3. He is a little below average height. 4. He is over average height. 5. He is of much more average height. 6. he is a little average in height. 7. He is more average in height. (Are they all grammatical?)
*November 14, 2012 by rfvv*

**physics**

need help with doing this combining vector question A jogger runs with a velocity of 6km/h 25 degrees north west for 35 minutes and then changes direction , jogging for 20 minutes at 4.5km/h 65 degrees east of north. using a vector diagram determine the joggers total ...
*March 2, 2010 by jake*

**Physics**

A 0.4 kg ball strikes a smooth level floor with a velocity of 5.0 m/s, 60 degrees below the horizontal.Â It rebounds off the floor with an unknown velocity and reaches a maximum rebound height of 0.60 m. If the duration of the collision with the floor is 50 milliseconds, then...
*October 25, 2012 by AH*

**Calculus**

How to integrate with position, velocity and accelleration
*May 10, 2009 by Caitlin*

**calculus**

2 given s(t)=3t +5t+3, find the instantaneous velocity when t i= 5.
*October 18, 2014 by Duane*

**Science**

how do you calculate the average velocity of a quarter dropped from a tower after 10 seconds?
*October 5, 2008 by Layla*

**Physics**

how to find the average velocity and speed for an entire postion time graph
*February 21, 2010 by jake*

**physics**

when a car goes around an 8-km track in 20-minutes. what is the average speed and velocity.
*April 1, 2012 by jim*

**physics**

a horse walks 56 meters in 75 second. what is his average velocity?show the work
*May 3, 2012 by lisa*

**physics**

a truck travels at 90km/hr W for 10 min. then at 110 km/ hr for 38 km what was the trucks average velocity
*January 17, 2013 by Anonymous*

**physics**

on a trip a car covers 42.3 miles in 40.0 minutes. find the average velocity in m/s and km/hr
*June 13, 2014 by roger*

**Physics 11U**

can a initial velocity from the average acceleration formula (Aav=Vf-Vf/t) be negative?
*September 14, 2014 by hi! help me.*

**Calc**

The wind chill is the temperature, in degrees Fahrenheit, a human feels based on the air temperature, in degrees Fahrenheit, and the wind velocity (v), in miles per hour (mph). If the air temperature is 32degrees Fahrenheit, then the wind chill is given by W(v)=55.6-22.1v^.16 ...
*January 23, 2011 by Leannna*

**Physics**

What is the maximum speed at which a car could be moving and not hit a barrier 35.0 m ahead if the average acceleration during braking is -10.0 m/s2 and it takes the driver 0.90 s before he applies the brakes? subtract from the 35 m the distance during reactiontime (v*.9) so ...
*September 4, 2007 by Sarah*

**calculus**

Find the average value of the function f(x)=8x^2-5x+6 , on the interval [3,5]. Find the value of x-coordinate at which the function assumes it's average value. what is the average value = to ? what is the x coordinate = to ? Thanks
*December 3, 2011 by li*

**physics**

A rocket carrying a satellite is accelerating straight up from the earth's surface. At 1.25 s after liftoff, the rocket clears the top of its launch platform, 69 m above the ground. After an additional 4.80 s , it is 1.00 km above the ground. Calculate the magnitude of the ...
*March 5, 2012 by aisha*

**Calculus**

Find the average value of function f(t)= 4sec(t)tan(t), interval [0,pi/4]
*September 14, 2011 by Zel*

**Math/Calculus**

Find the average rate of change on the interval [-6,3] of the function h(x)=x^2-4x+7. A. -7 B. 7 C. 1 D. 13 E. -5
*September 19, 2011 by Roger*

**Calculus**

What is the average rate of change I would like to know how does the formula f(2.1)-f(2)= 12.3 how did they get that answers
*September 22, 2011 by Shameaka*

**Calculus**

Find the average value of the function on the given interval. f(x)=6x lnx; [1,e^2]
*November 26, 2011 by Jane*

**College Calculus**

Calculate the average over the given interval. f(x)=sin(pi/x)/x^2, [1,2]
*February 9, 2012 by Anonymous*

**physics**

part 1 Simpson drives his car with an average veloc- ity of 47.5 km/h to the east. How long will it take him to drive 137 km on a straight highway? Answer in units of h part 2 How much time would Simpson save by in- creasing his average velocity to 105 km/h to the east? Answer...
*September 6, 2011 by ashley*

**math-average**

What is SUM AVERAGE? The professor mentioned that the exam average was 58 [out of 100] and sum average was 144
*March 6, 2008 by see*

**physics**

A 0.150 kg particle moves along an x axis according to x(t) = -13.00 + 2.00t + 3.50t2 - 2.50t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.45 s? I tried solving using s=Vit + (.5)at^2 but I can't find the ...
*September 22, 2009 by jeff*

**Physics**

A 0.150 kg particle moves along an x axis according to x(t) = -13.00 + 2.00t + 3.50t2 - 2.50t3, with x in meters and t in seconds. In unit-vector notation, what is the net force acting on the particle at t = 3.45 s? I tried solving using s=Vit + (.5)at^2 but I can't find the ...
*September 22, 2009 by richard*

**Calculus**

f(t)= -2te^-t^2, [0,5] Find average value. Attempt: I know that the average value is the integration of f(t) from a to b divided by b-a. I used u substitution to get u= -t^2 and du= -2xdx. I changed the limits of integration to [0,25] and I got integral of e^u du. I am not ...
*October 29, 2009 by Alex*

**Physics**

A train accelerates from the rest at the station A at a rate of 0.8 m/s2 for 25 s, the travels at constant velocity for 77.5 s before it comes to rest at the station B after period of retardation lasting 20 s. What is the distance between stations A and B, and the average ...
*April 14, 2015 by Albert*

**Physics**

For no apparent reason, a poodle is running counter-clockwise at a constant speed of 3.00 m/s in a circle with radius 2.9. Let v_1 be the velocity vector at time t_1, and let v_2 be the velocity vector at time t_2. Consider \Delta v = v_2-v_1 and \Delta t = t_2 - t_1. Recall ...
*March 16, 2012 by Krista*

**physics**

A tennis ball with a velocity of +9.6 m/s to the right is thrown perpendicularly at a wall. After striking the wall, the ball rebounds in the opposite direction with a velocity of -5.8 m/s (to the left). If the ball is in contact with the wall for 0.013 s, what is the average ...
*October 6, 2012 by Mackenzie *

**Physics**

A player strikes a hockey puck giving it a velocity of 47.673 m/s. The puck slides across the ice for 0.175 s after which time its velocity is 46.473 m/s. The acceleration of gravity is 9.8 m/s2 . The mass of the puck is 185 g. If the puck strikes the goalie’s pads and stops ...
*January 9, 2011 by Mike*

**physics**

An electron passes location h0.02m, 0.04m,−0.06mi, and 4 μs later is de- tected at location h0.02 m, 1.84 m,−0.86 mi. Find the average velocity of the elecron: ¯v = <vx, vy, vz> If the electron continues to travel at this av- erage velocity, find where ...
*January 19, 2014 by NADIA*

**Physics**

A dog running in an open field has components of velocity vx = 3.0m/s and vy = -1.1m/s at time t1 = 11.7s . For the time interval from t1 = 11.7s to t2 = 22.2s , the average acceleration of the dog has magnitude 0.55m/s2 and direction 34.5∘ measured from the +x−...
*January 22, 2015 by Kelly*

**Calculus study**

A baseball team plays in a stadium that holds 52000 spectators. With the ticket price at $9 the average attendance has been 21000. When the price dropped to $6, the average attendance rose to 26000. a) Find the demand function p(x), where x is the number of the spectators. (...
*March 30, 2015 by Juan *

**Physics**

An archer puts a 0.28 kg arrow to the bow string. An average force of 200 N is exerted to draw the sting back 1.1 m. a) Assuming no frictional loss, what speed does the arrow leave the bow? b) If the arrow is shot straight up, how high does it rise? My thoughts: KE = 1/2mv^2. ...
*November 16, 2007 by Einstein*

**Physics (acceleration)**

1. Jasmine rode a horse down a path headed north. she started from rest and then accelerated at 0.5 m/s2 for 12 seconds and then travelled at a constant speed for 28 seconds. a.) what was her velocity after 12 seconds? b.) what was jasmines displacement after 10 seconds? c.) ...
*May 14, 2014 by Samaira*

**Physics**

During a lawnmower race, a rider starts from rest and accelerates at 1 m/s/s for 10 seconds. The rider then maintains a constant velocity for the remainder of the race, which takes an additional 20 seconds. A) How far was the race? B) What was the lawnmower's average velocity ...
*September 25, 2011 by Karla*

**AP Calculus**

A particle is moving around the unit circle (the circle of radius 1 centered at the origin). At the point (.6, .8) the particle has horizontal velocity dx/dt=3. what is its vertical velocity dy/dt at that point? a)-3.875 b0-3.75 c)-2.25 d03.75 e)3.875
*December 15, 2010 by Jeff*

**Physics**

A runner completes an 850m race with two laps of the 425m track in the x-y plane centered at the origin in 1 mins, 50.6s . A runner rounds the track counterclockwise starting at the point (67.6 , 0). Find the runner's average velocity for the race. Find the runner's average ...
*February 8, 2012 by Tig*

**Physics**

1)A car is moving with uniform accelaration. It moves along two point A and B and enters with velocity 50 m/s and 80 m/s respectively . Find the velocity when the car is moving in b/w the point A and B. Let t be the time measured from when the velocity is 50 m/s V = 50 + a t ...
*August 24, 2011 by Prathiksha *

**PHYSICS**

A race car's velocity increases from 3.6 m/s to 32.4 m/s over a 5-s time interval. What is its average acceleration?
*March 2, 2010 by Amanda *

**Science**

How can you tell the similarity between displacement and average velocity? I really do not know. Please help, and I will appreciate it. :)
*February 27, 2014 by Brady*

**Physics**

A person is travelling 6 km (E) then 4 km (N) and finally 2 km (W). Calculate the average speed And velocity. Show your work
*March 4, 2014 by Mika *

**Physics **

1)The speedometer on a car’s dashboard measure average speed average velocity instantaneous acceleration instantaneous speed 2)A car moving on a straight road increases its speed from 30 m/s to 50 m/s in a distance of 180 m. If the acceleration is constant, how much time ...
*October 2, 2013 by Maryam*

**Physics**

What is the average velocity of the cart when moving from position x = 0.10 m to position x = 1.10 m? For X=0.10m on the time it took the cart to reach that position it is 0.34s The velocity of the cart at 0.10m is 0.87 For x=1.10m on the time it took the cart to reach that ...
*September 3, 2014 by Christie :)*

**Physics**

A train moving at a constant speed of 61.0 km/h moves east for 35.0 min, then in a direction 50.0° east of due north for 10.0 min, and then west for 49.0 min. What is the average velocity of the train during this run? What is the magnitude of that velocity? What is the ...
*January 27, 2014 by Anonymous*

**General Physics 1**

1) A car moving with an initial velocity of 29.6 m/s decreases to a velocity of 17.9 m/s over a time interval of 4.08 seconds. (a.) What is the average acceleration of the car during this time? (b.) Assuming the acceleration is constant, how far did the car travel during this ...
*June 16, 2014 by Kyle*

**Calculus Help**

If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 32 ft/sec, its height after t seconds is s(t)=64+32t–16t2. What is the maximum height the ball reaches "in ft"? What is the velocity of the ball when it hits the ground (height 0) "in ft...
*February 8, 2014 by Calculus Velocity*

**physics**

modern oil tankers weigh more than a half-million tons and have lengths of up to one-fourth mile. Such massive ships require a distance of 5.0 km (about 3.0 mi) and a time of 20 min to come to a stop from a top speed of 30 km/h. What is the magnitude of a such a ship's average...
*March 30, 2014 by Katie*

**Calculus**

C(x)= 16sqrt(x) + (x^2)/1000 Find the production level that will minimize the average cost
*October 10, 2008 by Carl*

**calculus**

Find the numbers b such that the average value of f(x) on the interval [0, b] is equal to 9. f(x)=7+10x-3x^2
*February 2, 2009 by matt*

**Calculus**

If b is a positive constant, find the average value of the function f defined by f(x) = x2 + bx + 1 on the interval [-1,1]
*February 1, 2011 by Ishaan*

**pre-calculus--Please help, urgent.**

For the function f(x)= 8/x+7,find the average rate of change of f from 1 to x.
*September 20, 2012 by ladybug*

**calculus**

for the function f(x)=5/x+4, find the average rate of change of f from 1 to x. please show work
*December 13, 2012 by Heather*

**grade 12 calculus and vectors**

Determine the average rate of change form x = 1 to x = 4 for each function. a) y= x b) y=x^2 c) y=x^3 d) y=7
*February 6, 2014 by priyanka*

**calculus**

The Institute finds that the average student taking Elementary Shorthand will progress at a rate given by dQ/dt=k(80-Q) in a 20 -wk course, where Q(t) measures the number of words of dictation a student can take per minute after t wk in the course. If the average student can ...
*April 21, 2012 by help please.*

**math**

The velocity(in feet per second) of a bouncing ball was recorded every second. The table shows the velocity for each second. Time(sec):|1|2|3|4|5| Velocity(ft/sec)|-15|-6|2|10|-11| What is the average velocity of the bouncing ball over 5 seconds? What is the highest record ...
*October 28, 2013 by Kai-Cin*

**Objects IN motion**

Table 2 shows the velocity of an object at different times. Time(s)| Velocity(cm/s east) 0 | 0 5 | 7.8 15 | 24.3 20 | 31.8 35 | 57.3 ___________________________ K they have given me the velocity for 5 s, 15, etc. but I want to know the velocity for the other numbers like 2s ...
*November 30, 2010 by Teya*

**Physics**

A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass of the ball is 0.38 kg. The ball approaches the cushion with a velocity of +2.10 m/s and rebounds with a velocity of -2.00 m/s. The ball remains in contact with the cushion for a ...
*October 7, 2012 by Cheng*

**physics**

A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass of the ball is 0.38 kg. The ball approaches the cushion with a velocity of +2.30 m/s and rebounds with a velocity of -1.90 m/s. The ball remains in contact with the cushion for a ...
*November 11, 2013 by bb*

**Math & Chemistry **

I having problems converting my answer to just cm. Given: Average Velocity = 1 m/s Water per day = 6,000 m^3/day Want to find the diameter of fluid flow. I am using the eqation: D = sqrt(4*q)/(pi*v) q= volumetric flow rate (6,000 m^3/day) v= velocity (1 m/s) when I solve I get...
*September 13, 2012 by Angel *

**trig**

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s= 2 sin pi t + 3 cos pi t, where t is measured in seconds. (a) Find the average velocity during each time period: (i)[1,2] (ii) [1,1.1] (iii) [1, 1....
*September 23, 2008 by Sarah*

**Physics**

A truck traveled along the National Highway from Calbayog to Oquendo which has a distance of 35 km. for 30 minutes. After delivering some materials, the driver rested for a while then drove back straight to Calbayog. The trip back took him 25 minutes. What is the average speed...
*January 2, 2011 by DAnielle*

**Calculus**

after t months on the job a postal clerk cn sort Q(t)=700-400e^-0.5t letters per hour. Wht is the average rate at which the clerk sorts mail during the first 3 months on the job. What is the average rte t which the clerk sorts mail during the first 3 months on the job? What is...
*August 1, 2012 by Marsha*

**Physics**

If a tern travels 3.20 x 10^4 km south in 122 days, what is its average velocity in kilometers per day?
*September 14, 2009 by NoNo100*

**Physics**

If a tern travels 3.20 x 10^4 km south in 122 days, what is its average velocity in kilometers per day?
*September 14, 2009 by NoNo100*

**science**

a polar bear runs across the ice at an average velocity of 5.5 m/s. How far will she run in 3.5 minutes?
*January 29, 2010 by Margaret*

**chemisrty **

What is the ratio of the average velocity of hydrogen molecules to that of neon atoms at the same temperature and pressure?
*May 13, 2010 by someone*

**physics**

city of K is 27 km north of I. Head west at 11:00 in the morning and arrive at 8:30 in the evening. What is my average speed and velocity
*September 22, 2010 by Anonymous*

**11th grade**

a motorcycle changes velocity from 80km/h[N] to 100km/h[N] in 5.0 seconds. calculate her average acceleration
*September 29, 2010 by raman*

**physics**

A 2.2 kg purse is dropped from 55 m above before reaching the ground with a velocity of 25 m/s. What was the average air resistance.
*December 2, 2010 by joe*

**physics2**

6)Adam is running at an average velocity of 6 Km/h. How many meters would Omar run after 15 minutes?
*December 14, 2010 by faisal*

**physics **

if a race cars velocity increases from 4 m/s to 36 m/s over a 4 s time interval, it average acceleration would be 10 m/s2.
*April 2, 2012 by mike*

**physics**

a person covers a distance of 31 km and displacement 3 kms and time 25.5 min calcuclate average velocity
*June 3, 2015 by pranavi*

**physics**

A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x(t) = bt2 – ct3, where b = 2.40m/s2 and c = 0.120m/s3. (a) Calculate the average velocity of the car for the time interval t = 0 to t = 10.0 s. (b) ...
*October 12, 2010 by Anonymous*

**Physics**

You have just discovered a planetary system consisting of a star (Dagobahr) and its two planets: Rool and Krau. Planet Rool has an average orbital radius 3 times as big as planet Krau. If planet Rool orbits Dagobahr in 2 earth years (1earth year = 365 days). a) how long is the...
*November 14, 2007 by Andrea*

**physics**

When a hammer strikes a nail, it is compressed along its length. Suppose that a steel nail 10.00 cm long and 3.00 mm in diameter is compressed an average of 65.0 µm by a 0.460 kg hammer during a 1.20 ms collision. (a) What average force was exerted on the nail by the hammer? (...
*October 1, 2014 by mathew*

**calculus**

Two runners, A and B run on a straight race track for 0</=t</=10 seconds. The graph below, which consists of two line segments, shows the velocity, in meters per second, of runner A. The velocity of runner B, in meters per second, is given by the function v defined by v(...
*November 22, 2008 by Kenneth*

**calculus**

g(t)=2+cos t; [0,pi] Can you help me find the average rate of change of the function over the given interval?
*January 20, 2011 by Kelly*

**pre-calculus**

suppose g(t)=kf(t). Find the average rate of change of g over the interval [a,b] in terms of f
*March 17, 2011 by Olivia*

**calculus**

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
*April 2, 2012 by mabel*

**calculus**

find the average value of the function f(x,y)=xe^y over the plane region R is the triangle with vertices (0,0), (1,0) and (1,1)
*April 5, 2012 by Anonymous*

**calculus**

find the average value of the function f(x,y)=e^(-x^2) over the plane region R which is the triangle with vertices (0,0), (1,0) and (1,1)
*June 12, 2012 by soffy*

**pre calculus**

find the average rate of change of f(x)=x^3-5x+3: a. from -6 to -3 b. from -1 to 2 c. from 2 to 8 I am so lost, can someone please show me how to do this?
*March 27, 2013 by courtney*

**Calculus**

There are 50 apple trees in an orchard, and each tree produces an average of 200 apples each year. For each additional tree planted within the orchard, the average number of apples produced drops by 5. What is the optimal number of trees to plant in the orchard? I mostly need ...
*March 25, 2014 by Q*

**Calculus**

well i have this homework question that says: A rock is dropped from the top of a 300-ft cliff. It's velocity at time t seconds is v(t0= -32 t feet per second. a.) Find the height of the rock above the ground at time t. b.) How long will the rock take to reach the ground? c.) ...
*May 11, 2009 by Caitlin*

**calculus and physics**

An explosion causes debris to rise vertically with an initial velocity of 75 ft/sec. a. In how many seconds does it attain maximum height? b. What is the maximum height? c. What is the speed of the debris as it reaches 12 ft on the way back to the ground? d. What is the ...
*October 1, 2012 by olivia*