# Calculus - average velocity

43,258 results, page 7

### Physics

Can the instantaneous velocity of an object at a given time instant be greater than the average velocity over a time interval that includes the given time instant? Can it be less?

### science

A bicyclist is in a 50-km race. He says he had an average velocity of 35. What is missing in the cyclist’s velocity? A. units only B. units and distance C. direction only D. units and direction

### physics

If instead, the swimmer makes 30.5 laps in the same pool in 3 h, determine the total distance the swimmer traveled, the swimmer's total displacement, the swimmer's average velocity, and the swimmer's average speed. pool is 30 m long please answer in km

### physics

If instead, the swimmer makes 30.5 laps in the same pool in 3 h, determine the total distance the swimmer traveled, the swimmer's total displacement, the swimmer's average velocity, and the swimmer's average speed. pool is 30 m long please answer in km

### calculus (gr 12)

Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)

### calculus (gr 12)

Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)

### Calculus

The vertical position of an object is modeled by the function h(t)=-16t^2 +5t+7, where h is measured in feet and t is measured in seconds. Find the object's initial velocity (that is, the velocity at t=0). Is it 5 feet per second?

### General Physics

Clarification: this is calculus-based physics, so the methodology is not restricted to trigonometry only. I have two questions, so hopefully I can divide them up nice and evenly. Also, if you know where I should copy and paste proper vector notation from, please tell me so I ...

### Physics

A person is standing on the edge of a cliff of height h= 24 m. She throws a stone of mass m=0.2 kg vertically down with speed v0= 10 m/s (stone 1) and another stone of the same mass vertically up at the same speed (stone 2). The gravitational acceleration is g=10 m/s2. (a) ...

### Physics

An electronic motor is revolving at 2000rpm. After 3sec, it is moving at 150rpm. Determine the angular acceleration. What is angular momentum of the electric motor if the rotational inertia is 18.kg.square meter in initial velocity? In final velocity? What is the average ...

### Physics

please check if these are right 1. Which of the following is the equation for average velocity? a. Vavg=delta x/delta t b. Vavg=delta t/delta x c. Vavg=delta x *delta t d. Vavg=V1-Vf/2 i picked A 2. Suppose you are given a position versus time graph. the slope of a line drawn ...

Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)

### social studies

Given a Helium-Neon laser-based fiber optic Doppler probe at an angle of 60¡C with a blood vessel that registers a frequency shift of 63KHz, what is the velocity of the blood? Is this a reasonable number from a physiologic point of view when compared to the average velocity ...

### Physics

A lump of clay with a mass of 5.0 ! 10-2 kg is thrown toward a wall with a velocity of 3.0 m/s. The clay bounces off the wall with a velocity of #0.5 m/s. What is the impulse on the clay? If the clay in the previous problem impacted the wall for 5.0 ms, what was the average ...

### Calculus 1

The acceleration function (in m/s^2) and the initial velocity are given for a particle moving along a line. a(t)=t+4, v(0)=4, 0 ≤ t ≤ 11 (a) Find the velocity at time t. (b) Find the distance traveled during the give time interval.

### Calculus

The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving along a line. a(t) = 2t + 2,    v(0) = −3,    0 ≤ t ≤ 5 (a) Find the velocity at time t. v(t) = ______ m/s (b) Find the distance traveled during the given time interval...

### Calculus

A particle moves along the x-axis with the velocity given by v(t)=3t/(1+t^2) for t >or equal to 0. When t=0, the particle is at the point (4,0). 1. Determine the maximum velocity for the particle. Justify your answer. 2. Determine the position of the particle at any time t...

### Math

Please help me!!! The table below represents the velocity of a car as a function of time: time Velocity seconds (m/s) x f (x) 15 45 22 66 29 87 36 108 The average rate of change of the function between x = 15 to x = 29 is __________m/s2 and represents the car's acceleration

### Pre calculus

A woman went for a 48km drive in her car, partly in town in the country. She drove at an average of 40km/hr in town and an average speed of 50km/hr in the country. If the drive took her one hour altogether then how long did she drive in the country?

### physics

A limb, which is 1m long, moves through an angle of 30 degrees in 0.5 seconds. a) What is the average angular velocity of: i) Its end? ii) A point 30 cm from the axis of rotation? b) What is the linear velocity of: i) Its end? ii) A point 30 cm from the axis of rotation?

### physics

A limb, which is 1m long, moves through an angle of 30 degrees in 0.5 seconds. a) What is the average angular velocity of: i) Its end? ii) A point 30 cm from the axis of rotation? b) What is the linear velocity of: i) Its end? ii) A point 30 cm from the axis of rotation?

### physics

does the slope of a distance vs. time graph show the average velocity or the instaneous velocity I'm asked the question and don't know which one. I believe that it would be the instaneous value because the slope is refering to one point on the graph... not sure though

### Physics

From t = 0 to t = 5.00 min, a man stands still, and from t = 5.00 min to t = 10.0 min, he walks briskly in a straight line at a constant speed of 2.3 m/s. (a) What is his average velocity vavg in the interval 2.000 min to 7.90 min? I found this to be 1.15 m/s (b) What is his ...

### chem

How can separate 1L samples of O2 and H2 have the same average velocity/

### Physics

How do you determine the average velocity on a position-time graph?

### science

What is the average velocity of the argon atoms in the gas phase at 75°F?

### physics

You drive a car 7 h at 42 km/h, then 7 h at 65 km/h. what is your average velocity? answer in units of km/h

### physics

you drive a car for 2.0 h at 40km/h, then for another 2.0 h at 60km/h. what is your average velocity?

### Physics

You drive a car 2 h at 48 km/h then 2 h at 62 km/h. What is your average velocity? Answer in units of km/h

### chemistry

1)How can you determine average velocity from displacement time graph?

### physics

How long will it take a cat to run 8.2m [N] at an average velocity of 3.7m/s [N]

### Calculus

Find the average value of f(t)=-2te^(-t^2) on the interval [0,3]

### calculus

If we know that for a function, f(x), that f(2) = 6 and f(5) = 1, what is the average rate of change of f(x) on the interval [2,5]?

### calculus

Find the average value of the function f(x) = (2x - 5)^2 on the interval [1, 2].

### calculus

The average (mean) value of (1/x) over the interval 1<= x<= e is a)1 b)(1/e) c)(1/e^2)-1 d)(1+e)/2 e) 1/(e-1)

### Calculus

Find the average value of the function f(x)= 8/ (3+x)^2 on the interval [0,2]

### Calculus

Find the average value of the function f(x)= 8/ (3+x)^2 on the interval [0,2]

### physics

A bicycle traveled 150 meters west from point A to point B. Then it took the same route and came back to point A. It took a total of 2 minutes for the bicycle to return to point A. What is the average speed and average velocity of the bicycle?

### physics

a dog runs from point a to b to c in 4.00s. find the dog's average velocity over this 4.00 second interval find the dog's average speed over this 4.00s intervals I can't remember the formula off hand. Thanks for your help in advance.

### physics

A bicycle traveled 150 meters west from point A to point B. Then it took the same route and came back to point A. It took a total of 2 minutes for the bicycle to return to point A. What is the average speed and average velocity of the bicycle?

### physics

A runner dashes from the starting line (x = 0) to a point 127 m away and then turns around and runs to a point 38 m away from the starting point in 13 seconds. To the nearest tenth of a m/s what is the average speed? What is the runner's average velocity in the previous problem?

### Math - Averages

The test average for Louis' calculus class is found by taking the arithmetic mean of his four best test scores. If his first four test scores are 65,82,76 and 87, what score must he get on the fifth test to raise his test average to an 85?

### 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? I don't know what equation to use or anything for this problem...

### AP Calculus

Hi, we just learned this new section today, and I am very confused.... 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 ...

### Physics

A particle P travels with constant speed in a circle of radius 7.3 m and completes one revolution in 34.0 s (see Figure). The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval from t = 11.9 s and t = 16.9 s. The answer here...

### Physics

A particle P travels with constant speed in a circle of radius 7.3 m and completes one revolution in 34.0 s (see Figure). The particle passes through O at t = 0 s. What is the magnitude of the average velocity during the interval from t = 11.9 s and t = 16.9 s. The answer here...

### Science

A train starts from rest and accelerates uniformly, until it has traveled 3000 m and acquired a velocity of 24 m/s. The train then moves a constant velocity of 24 m/s for 430 s. The train then decelerates uniformly at 0.065 m/s², until it is brought to a halt. 1. In Situation...

1 A runner dashes from the starting line (x = 0) to a point 130 m away and then turns around and runs to a point 11 m away from the starting point in 21 seconds. To the nearest tenth of a m/s what is the average speed? 2 What is the runner's average velocity in the previous ...

### calculus

10. A military jet flies horizontally with a velocity of 450 m/s and 20,000 m above the ground. When the jet is straight above an artillery gun a shell is fired. Assuming the shell hits the jet. a. Calculate the horizontal component of the initial velocity of the shell. b. ...

### More physics help

A solid cylinder with a radius of 5.08 cm starts from rest at the top of a 12m long ramp inclined 20.3 degrees above the horizontal. When it reaches the bottom of the ramp 3.25s later the cylinder has a final linear velocity of 7.38 m/s. What was the average angular velocity ...

### calculus

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

### physics

if u have swam one lap in a swimming pool, that means from one end to the other and back. In 3.5 h, a swimmer makes exactly 60 laps in the pool, that is 40 m long. Determine the distance the swimmer traveled, the total displacement of the swimmer, the swimmer's average ...

### physics

You jog at 9.5 km/h for 7.0km , then you jump into a car and drive an additional 16km . With what average speed must you drive your car if your average speed for the entire 23km is to be 22 km/h? Work: i tried setting up a proportion and setting it to each other using the ...

### Physics

CIRCULAR MOTION A car takes a curve with 300m radius at a velocity of 60 m/s. a) Determine the change in velocity (module and direction) when it travels an arc of 60 degrees b)Compare the magnitude of the instantaneous acceleration of the car with a magnitude of the average ...

### Physics

A 275 kg motor cycle and rider accelerate from restand reach a velocity of 20m.s-1 West.the motor cycle wheels exert an average force of 710N East on the road. Calculate the minimum time taken to reach a velocity of 20m.s-1

### Physics

A lead ball is dropped into a lake from a diving board 5.42 m above the water. It hits the water with a certain velocity and then sinks to the bottom with this same constant velocity. It reaches the bottom 4.98 s after it is dropped. (Assume the positive direction is upward...

### 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 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 ...

### 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 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 ...

### physics

Mary walked north from her home to Sheila's home, which is 4.0 kilometers away. Then she turned right and walked another 3.0 kilometers to the supermarket, which is 5.0 kilometers from her own home. She walked the total distance in 1.5 hours. What were her average speed and ...

### Calculus

If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 112 ft/sec, its height after t seconds is s(t)=32+112t–16t2 . What is the maximum height the ball reaches?What is the velocity of the ball when it hits the ground (height 0 )?

### Physics

A car travels a straight road at 140 km/h for 30 min then at 90 km/h for 10 min. It then reverses and goes at 90 km/h for 20 min. a) Find the average velocity for the entire trip. b) Find the average speed for the entire trip.

### Physics

A rock is dropped of the side of a bridge and hits the water below 4s later. a. What was the rock’s velocity when it hit the water? b. What was the rock’s average velocity as it fell? c. What is the height of the bridge above the water?

### Physics

"A jogger runs with a velocity of 6.0 km/h [25° N of W] for 35 min and then changes direction, jogging for 20 min at 4.5 km/h [65° E of N]. Using a vector diagram, determine the jogger's total displacement and his average velocity for the workout." I know the answer, what I ...

### Calculus

Using the equation x(t)= t^3 - 12t + 1, find the displacement during the first 3 seconds. And then find the velocity during the first 3 seconds. See, I know how to find velocity, but there's a question after that that says to find velocity when t=3...so how do you find it ...

### calculus

a company introduces a new product for which the number of units sold S is S(t)=200(5-(9/2+t)) where t is the time in months. a.)find the average value of S(t) during the first year. b.) during what month does S'(t) equal the average value during the first year?

### Physics

In an experiment, a shearwater (a seabird) was taken from its nest, flown 4760 km away, and released. It found its way back to its nest 14.9 days after it was released. If we place the origin at the nest and extend the +x axis to the release point, what was the bird's average ...

### calculus

A Particle moves along the x-axis so that at any time t>0, its acceleration is given by a(t)= ln(1+2^t). If the velocity of the particle is 2 at time t=1, then the velocity of the particle at time t=2 is? The correct answer is 3.346, but how?

### College Calculus

If a ball is thrown vertically upward from the roof of 48 foot building with a velocity of 96 ft/sec, its height after t seconds is s(t)=48+96t−16t^2. What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0)?

### Physics

These are “plug-in-the-number” tasks to familiarize you with the main formulas that link the physics concepts of this chapter. They are one-step substitutions, much less challenging than the Think and Solve problems that follow. Average speed ! total distance covered ...

### 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 . If the puck strikes the goalie’s pads and stops in a distance of 4.39 cm, what...

### Chemistry

A mixture of O2 and SO2 is confined in a vessel at equilibrium. Which statement describes the conditions that are true for the mixture? I. The mass of SO2 is greater II. The average molecular velocity of the O2 is greater III. The average kinetic energy of the O2 is greater ...

### physic

a car travels east at 89 km/h for 1 hour.it then travels 26 east of north at 141 km/h for another 1 hour. a)what is the average speed for the trip? b)what is the average velocity for the trip?

### math

How can i find the average Velocity and speed for a position time graph*

### physics

what is the average velocity of a vehicle that uniformly accelerates from rest to 38 fps?

### Physica

A box is pulled horizontally by a 60 N force at an average velocity 1.0m/s. The power is

### physics

A rolling ball moves from x1 = 3.2 cm to x2 = -4.2 cm during the time from t1 = 3.8 s to t2 = 6.1 s. What is its average velocity?

### physics

A car goes 10 km in 5 minutes when its average velocity is 80 km/hr. true or false

### physics

what is the particle's average velocity in the y direction vy between t=0.200s and t=0.300s?

### Physics

Your velocity changes from 50 m/s to the left to 10 m/a to the right in 15s, what is your average acceleration?

Your velocity changes from 50 m/s to the left to 10 m/a to the right in 15s, what is your average acceleration?

### phisecs

A car travels in a stright line at 43 km/h for 1 h and at 65 km/h for 5 h. Find the average velocity in km/h?

### Physics (Kinematics Check)

What is the average velocity of a dropped brick that falls 4.0 m? vi = 4.0 m/s vf = 0 m/s a = 9.81 m/s^2 t = vf-vi / a t = -4/9.81 t = 0.41 s v = d/t v = 4.0/0.41 v = 9.81 m/s^2 <----------

### Physics

What would be the average velocity of an object falling 1.25m from the rest?

### Science

What is the average velocity of a car that moved 25 km east and 40 km wear in 2 hours

### Cal 1

S=6t^3+8t^2+5 -3≤ t≤ -1 Find the body's average velocity for the given time interval.

### Calculus

Find the average value of sqrt(cosx)on the interval [-1,1]

### calculus

Find the average value of the function on the given interval f(x) = 2x^3(1+x^2)^4, [0,2]

### Calculus

Find the average value of the function on the given interval: f(x) = e^x/5, [0,5]

### Calculus

Prove that the average of LRAM and RRAM is equal to TAM.

### pre-calculus

Which of these has the greatest average rate of change between 2 and 3 : f(x)=x ;g(x)=X^2 ;h(x)=x^3?

### calculus

What is the average rate of change of y=4x^3 over the interval P(1, 4) and Q(5, 500)?

### calculus

determine the average value of f(x) over the interval from x=a to x=b, where f(x)=100e^-.5x; a=0, b=4

### Fundamental Theorm of Calculus

Find the average value of f(x)=3x^2-2 x on the interval [3,6]

### Fundamental Theorm of Calculus

Find the average value of f(x)=7x^{-2} on the interval [1,5]

### Calculus

Given k(p) = |p|+4, find the average value of this function on the interval from -4 to 4. I get 6.

### Physics

An athlete springs a circular 400.0 m track in 50.0 s. Asume he runs a constant speed. a. What is his speed over the entire course? b. What is the magnitude of his instantaneous velocity at any point along the circuit? c. If he starts facing west and runs counterclockwise, ...

### Math - Calculus

The horizontal velocity is constant. (Ignore air resistance.) Recall from your study of trigonometry that if you release a rock at a speed v in a direction that makes an angle α with the horizontal, then the initial vertical velocity vv and the horizontal velocity vh are ...

### Calculus

The motion of a spring that is subject to dampening (such as a car's shock absorber)is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion for a point on such a spring is s(t)=3∗e^(−2t)sin(3ðt) ...

### 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 ...

### 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