# What does the area under a velocity time graph represent?

74,798 results

### physics

The first graph you plotted is called a speed-time graph. However, information other than speed or time can be obtained from such graphs. (a) What does the area under the line of the graph represent? the distance traveled? (b) Write an equation to represent the area under the ...

### Calculus

I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions? f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of a particle moving ...

### Physics

What does the area under a velocity vs. time graph represent??

### Physics

How do you convert a distance time graph to a velocity time graph. In my first distance time graph, i have 3 curves, two are above the x axis the the middle curve is under the x axis. i am confused on how to change this graph into a velocity time graph since i cant find the ...

### physics

the slope of a velocity-time graph represents? the area under a velocity time-graph represents? the slope of a line drawn tangent to a curved position-time graph represents..?

### calculus

given the graph of f(x) = x sinx, 0<=x<=2pi assuming that a quantity y changes at a rate of y' = xsinx, find by how much it will increase or decrease over 3pi/2 <= x <= 2pi the area under the graph from 0 to pi/2 is 1 the area under the graph from pi/2 to pi is pi-...

### physics

A car travels on a straight road for 40km at 30km/h. It then continues in same direction for 40km at 60km/h. a)What is the average velocity of the car during the 80km trip?(assume it moves in positive x direction) b)What is the average speed? c)graph and indicate how average ...

### Physics please help

How do I convert a distance time graph into a velocity time graph. I am given a distance time graph with three curves but i am not sure how to calcualte the area of them to get the velocity time graph.

### Physics(check)

13)What can you say about the motion of a body if its velocity-time graph is a straight line inclined with the time axis? The body moves with uniform velocity. 14)Which of the following conclusions can be drawn if a velocity-time graph is parallel to the time axis? A)The body ...

### science

which physical quantity is given under the area of velocity time graph?

### Physics Multiple choice!!

What is indicated by a smooth, upward curving line on a graph? a.) A linear relationship between x and y b) A inverse relationship betweeen x and y c.) A direct relationship between y and with the square of x d.) No relationship between x and y is indicated The slop of a ...

### Physics

An object travels with a constant acceleration for 10 s. The vectors in Figure 3-41 represent the final and initial velocities. carefully graph the x component of the velocity versus time and the y component of the acceleration versus time, in a Vx vs t graph, a Vy vs t graph ...

### Chels

What can you say about the motion of a body if its veloctiy-time graph is a straight line inclined with the time axis? a. the body moves with uniform velocity b.the body moves with uniform acceleration c. the body moves with non uniform acceleration d. the body moves with ...

### Grade 12 Physics

Bredan is driving through town at 25m/s and begins to accelerate at a constant rate of -1.0m/s/s. Eventually Brendan comes to a complete stop. A) Represent Brendan's accelerated motion by sketching a velocity-time graph. B) Use the velocity-time graph to determine his total ...

### Science

A car runs at a constant velocity of 15m/s for 300sec and then accelerates uniformly to a velocity of 25m/s over a period of 20s. This velocity is mantained for 300s before the car is brought to rest with uniform deceleratiom in 30s. Draw a velocity time graph to represent the...

### physics

A student drives a moped along a straight road as described by the velocity versus time graph in the figure. The divisions along the horizontal axis represent 1.5 s and the divisions along the vertical axis represent 4.5 m/s. Sketch this graph in the middle of a sheet of graph...

### Physics

I'm having trouble with motion graphs. How do you go from an acceleration-time graph to a velocity-time graph or displacement time graph? I know that to go from v-t to a-t I just take the slope of the v-t graph, but how do you do it the other way around?

### maths

Which three options are true about the quadratic equation?? y= 4t^2 + 16t + 18 A. The graph has a minimum. B. The graph of y crosses the horizontal axis at t = 10 and t = 20. C. The equation 4t^2 + 16 + 18 = 6 has one real solution. D. The function has a maximum at t = 10 E. ...

### Math/Physics

For a velocity-time graph, what does the "tangent line of the curve" represent?

### Physics check

1)What can you say about the motion of a body if: a. its displacement-time graph is a straight line inclined with the time axis b. its velocity-time graph is a straight line inclined with the same axis. c. its velocity- time graph is a parabola A)The velocity is constant and ...

### Physic

A ball is thrown vertically upward with a velocity(v) against the gravity. It reaches the maximum height(h) & returns back to the hand of the thrower with a velocity(u). Draw velocity time graph & position time graph for the situation?

### Physics

A car accelerates from rest at 5 m/s^2 for 5 seconds. It moves with a constant velocity for some time, and then decelerates at 5 m/s^2 to come to rest. The entire journey takes 25 seconds. Plot the velocity-time graph of the motion. They don't give me a graph so I made one. I ...

### PHYSICS

The area under a force-versus-time curve is: a) momentum b) impulse c) velocity what's the area under a force-vs-time curve: momentum, impulse, or velocity?

### physics

On a velocity versus time graph the quantity the area between the graph line and the x-axis represents the change in _______ of the object .

### Physics

1. What is indicated by a velocity-time graph that crosses the x-axis? 2. How can you tell by looking at a position-time graph whether or not the object was changing speed? 3. How can you tell by looking at a velocity-time graph whether or not the object was changing speed? 4...

### physics

Assume a canister in a straight tube moves with a constant acceleration of -3 m/s2 and has a velocity of 13.5 m/s at t = 0.00 s. (a) What is its velocity at t = 1.00 s? v = m/s (b) What is its velocity at t = 2.00 s? v = m/s (c) What is its velocity at t = 2.5 s? v = m/s (d) ...

### physics

how do i make a velocity vs. time graph? i have a graph of acceleration vs. time and i am told to find distance between a certain amount of time and i was told to make a graph. is there any other way to find distance or is the velocity vs. time graph necessary?

### Physics

An object travels with a constant acceleration for 10 s. The vectors in Figure 3-41 represent the final and initial velocities. carefully graph the x component of the velocity versus time, the y component of the velocity versus time and the y component of the acceleration ...

### Diploma Math

A small object travels with a velocity of v=4-t^2 where t is the time in seconds, recorded from t=0, and v is the velocity in metres/second. a) Draw a graph of v(t) for 0¡Üt¡Ü3. b)Find ¡Ò[0,3,(4-t^2),dt] c) Use a suitable geomentric method to caculate the area enclosed ...

### physics

for example of the stone dropped from a ballon and striking the ground and taking into account air resistance sketch a) a distance-time graph b) a velocity-time graph c)an acceleration-time graph

### Math help - Conversion

Good Evening everyone I'd like to propose a valid question on the mathmatical topic about finding area's under the speed- time graphs that represent the distance travelled. Iam aware that the area is actually equal to the distance travelled . But reallt the question is if it ...

### physic

1. Given the following velocity-time graph: V-T Graph 10 Velocity, m/s 5 10 15 Time -10 a. Calculate the displacement at the end of 20 seconds.

### Physics

On a postition versus time graph to find the acceleration you would simply find the area under the graph right? and how would you figure out whether acceleration is increasing, decreasing, constant of unknown from a graph? My guess is that the accereration is constant throughout.

### Calculus

The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles. A = lim n → ∞ [f(x1)Δx + f(x2)Δx + . . . + f(xn)Δx] Use this definition to find an expression for the ...

### Calc

a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4. the areas of the regions bounded by the t-...

### help math

a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4. the areas of the regions bounded by the t-...

### Physics

i have a graph that shows the motion of a cyclist. as the velocity(m/s) goes up:1, 2, 3... the elapsed time(s) also increases, 2, 4, 6... when the velocity is on 2 the time is on 2, when the velocity is on 3 the time is on 4... the line that is drawn points upward my question ...

### math

Which three options are true about the quadratic equation?? y= 4t^2 + 16t + 18 A. The graph has a minimum. B. The graph of y crosses the horizontal axis at t = 10 and t = 20. C. The equation 4t^2 + 16 + 18 = 6 has one real solution. D. The function has a maximum at t = 10 E. ...

### Science

What can you say about the motion of a body if: a. its displacement-time graph is a straight line inclined with the time axis b. its velocity-time graph is a straight line inclined with the same axis. c. its velocity- time graph is a parabola A)the velocity is constant and it ...

### Physics

A car acclerates at 4m/s/s for 5s and then drove at its final velocity for 8s. It then decelerates at 2m/s/s for 2s. Draw a velocity-time graph and use the graph to find the distance covered during the 15s described. Would I plot (5,8) and then draw a line from the orgin to ...

### Physics

How would i find the total time spent decelerating on a velocity time graph? would it be the parts on the graph with negative velocity like -20m/s

### physics

A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, ...

### physics

A sprinter starts from rest and accelerates for 5s. He then travels at a constant velocity for 10s. Finally he slows down to a stop in 5s. Draw a distance time graph to represent his motion.

### Calc

I'm kind of rusty on my calc here... ok ther's a graph of velocity vs time w/ velocity in m/s and time in seconds were time is of course the x-axis k I'm asked to describe how the velocity changes over the timer interval in this interval the graph consists of three segments ...

### Math: Need Answer to study for a quizz. Help ASAP

Estimate the area under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3] using a definite ...

### physics

the velocity time graph of a car start from rest and it accelerate uniformly at a rate 3m/s2 for 5seonds if attain the velocity which maintain for 1m the car then brought to rest by a uniform retardation after another 30m. draw the velocity time graph. find the acceleration. ...

### physics really stuck

A sprinter starts from rest and accelerates for 5s. He then travels at a constant velocity for 10s. Finally he slows down to a stop in 5s. Draw a distance time graph to represent his motion.

### Physics

A boy is cycling at a constant speed along a straight road to his school. The postions of the boy after fixed time intervals are observed. a. What type of position-time graph can be expected for the motion of the bicycle? b. How can the average velocity of the bicycle be ...

### hi calculus asap

the graph of a piecewise linear function f, for -1<x<4. what is the value of integral (-1 to 4) F(x) dx? the interval i gave is grerater than or equal to and less than and equal to. i didn't know how to put the underscore under the symbol. for the integral, -1 is on the ...

### Terminal Velocity

How can u determine that a falling object has reached terminal velocity from a velocity time graph of its motion? u can determine if a falling object has reached terminal velocity from a velocity-time graph of its motion by its stop of acceleration. The falling object no ...

### Calculus

Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles. b. Sketch for yourself the graph of f and the rectangles. Is this left sum an overestimate or underestimate? Enter OVER or UNDER. c. Now use 5 right rectangles to estimate the area. ...

### Physics

A car accelerates from rest at 5 m/s2 for 5 seconds. It moves with a constant velocity for some time, and then decelerates at 5 m/s2 to come to rest. The entire journey takes 25 seconds. On a separate sheet of paper, plot the velocity-time graph of the motion. Describe the ...

### Physics

A car start from rest, moves with uniform acceleration and attains a velocity of 72km/h in 1.5 s it moves with uniform speed for 20 s and is then brought to rest in 10 s under uniform retardation, then total distance travelled using velocity -time graph is?

### calculus

a particle moves along the x-axis (units in cm) its initial position at t=0 sec is x(0)=15. the figure shows the graph of the particle's velocity v(t). the numbers are areas of the enclosed regions. in the graph 0 to a is 4 under the x-axis, a to b is 5 above the x-axis, b to ...

### physics

In this problem you will determine the average velocity of a moving object from the graph of its position as a function of time . A traveling object might move at different speeds and in different directions during an interval of time, but if we ask at what constant velocity ...

### Pre-Calc

Can anyone help with the following problem please...Thank u so much Let f(x) =|9x|. For the area above the x-axis and between the lines x= -9 and x=18 a. draw and label a sketch with the area shaded b. find the area of the region in the xy-plane under the graph of f(x)

### physical

Displacement time graph and velocity time graph is equall to describe motion of particles.

### Calculus

Set up a Riemann sum to estimate the area under the graph of f(x) = 5x 2 + 2 between x = 0 and x = 1 using 3 subdivisions and left endpoints. Draw the graph and the 3 rectangles

### Physics

The velocity graph of a particle moving along the x-axis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =6.22m, the maximum velocity of the particle is...

### physics

How do you find a velocity-time graph from a position-time graph. pls help. i do not understand how to do it

### physics

How do you find a velocity-time graph from a position-time graph. pls help. i do not understand how to do it

### physics

How do you find a velocity-time graph from a position-time graph. pls help. i do not understand how to do it

### Physics

A particle starts from xi = 10 m at t0 = 0 and moves with the velocity graph shown in the graph below. Sorry for no graph it's at 12 m/s when time is zero. Moves down consistently so that it is 8 at 1 4 at 2 0 at 3 and negative 2 at 4. (a) What is the object's position at t = ...

### Physics check

1)The velocity of sound in air is 332 m/s. If the unit of length is km and the unit of time is hour, what is the value of velocity? m/s 2)What conclusions can be drawn if a velocity-time graph is a curve? acceleration is not constant.

### Math

Estimate the are under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3] using a definite integral.

### Pre-calc

Can someone please show me the steps to this problem...Thanks in advance. Let f(x) = Ð9xÐ. For the area above the x-axis and between the lines x= -9 and x=18 a. draw and label a sketch with the area shaded b. find the area of the region in the xy-plane under the graph of f(x)

### Calculus

A particle moves at varying velocity along a line and s=f(t) represents the particle's distance from a point as a function of time, t. Sketch a possible graph for f if the average velocity of the particle between t=2 and t=6 is the same as the instantaneous velocity at t=5. I'...

### Math

There is a graph and on the right hand side it has numbers going up from 0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 these numbers represent Time (days) on the bottom it has 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 which represents Time (weeks) The math question is what is a real life ...

### Physics Help Please!!!! Graphs Please Please!!!

------A part is on an assembly line going between one station and another. if the part has a constant velocity ( and constant acceleration) , complete a sketch of the following two corresponding graphs. do not worry about numbers, but only the shape of the graphs. 1) Graph of ...

### Physics

A particle moving with uniform acceleration has initial velocity u. With the aid of a velocity time graph, show that the displacement s after time t is given by: s=ut+1/2*gt^2

### physics

Use the data below to draw a velocity-time graph. (5) NB: Consider Acceleration, constant speed, deceleration of the object. Time 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Velocity 15 17 19 21 21 21 31 41 51 50 49 48 47 46 45

### engineering

The velocity of a sports car is graphed as a function of time . Use the graph to answer the questions. a) Find the sports car’s maximum velocity, , during the 10- interval depicted in the graph. b) During which time interval is the acceleration positive?

### phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a non-constant velocity. The ...

### Algebra

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that ...

### Calculus II Help Please

Only question I can't do on the assignment In pharmacokinetics the area under the graph of the drug concentration function with respect to time can be used to determine the total amount of the drug absorbed (the area is actually proportional to the amount of the drug absorbed...

### Physics

Consider a particle undergoing positive acceleration. (1) what is the shape of the position-time graph? (2) How do we determine an instantaneous velocity from the position-time graph?

### phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a non-constant velocity. The ...

### Physics

Steps for drawing an acceleration time graph from a velocity time graph and vice versa?l Please give me proper steps

### Algebra- I get 1 out of two parts

Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 700 liters in the pond to start. Let W represent the amount of water in the pond (in liters), and let T represent the number of minutes that ...

### Physics

Suppose you are given the following equation, where xf and xi represent positions at two instants of time, vxi is a velocity, a is acceleration, t is an instant of time, and a, b, and c are integers. xf = xi ta + vxi tb + 1/2 ax tc For what values of a, b, and c is this ...

### physics

Derive a general equation for the time of flight of the banana en route to the monkey in terms of only the velocity, distance, and height hint: if you are doing everything right, there should be a lot of cancellations resulting in a relatively simple solution Okay, this is ...

### Physics - position time graph

The graph shows position as a function of time for 2 trains running on parallel tracks. The graph shows line A at a 45 degree angle,beginning at origin. Curve B also begins at origin, continues up and to the right (all in quadrant 1, like a sq root function) It crosses Line A ...

### Physics

The position time-graph for the motion of a certain particle is a smooth curve, like a parabola.At a given instant of time the tangent line to t he position-time graph has a negative slope. is the instantaneous velocity of the particle at this time positive, negative, or zero?...

### physics

Two fan carts with different fan speeds and different accelerations are started from rest some distance from one another. Cart A begins at position 0 with a velocity of zero and an acceleration of aA to the right. Cart B begins at position xB with a velocity of zero and an ...

### Physics

Thomas the train and Diesel are involved in an elastic collision. A 2.5 kg Thomas is, at rest but is approached head-on by a 5.0 kg Diesel moving at 0.60 m/s. The force-separation graph for the ensuing collision is given. (12 marks) What is the total kinetic energy before the ...

### PHYSICS

Which two terms represent a vector quantity and the scalar quantity of the vector's magnitude, respectively? A. velocity and speed B. time and time interval C. acceleration and velocity D. position and displacement I say it's A.

### physics

How do I find the acceleration on a velocity time graph when the graph has an irregular shape.

### Calculus

Use 5 right rectangles to estimate the area of the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?

### calculus

A rectangle with its base on the x-axis is to be inscribed under the graph of y=2-x^2. Find the height of the rectangle if the area is the largest possible area.

### science/math

I have to make this density graph on a standard sheet of graph paper of this area outside. Each side of the area is a meter (in real life). What would be an good scale to use for my graph on graph paper?

### Math (misleading graphs) (Statistics)

When constructing a graph showing the population of two countries, an illustrator draws two different people with heights proportional to the populations. Identify a way in which the graph might be misleading. What is the general name for such graphs that use drawings of ...

### calculus

A rectangle with its base on the x-axis is to be inscribed under the graph of y=2-x^2. Find the height of the rectangle if the area is the largest possible area. (Round to the nearest hundreth)

### statistics

The average scuba diver can stay under water for 42 minutes with a standard deviation of 8 minutes.(show graph) B. what is the probabilty that a diver stays under for the less than 53 minutes? c.what is the probabilty that a diver stays under between 25 and 50? d. what is the ...

### statistics

The average scuba diver can stay under water for 42 minutes with a standard deviation of 8 minutes.(show graph) B. what is the probabilty that a diver stays under for the less than 53 minutes? c.what is the probabilty that a diver stays under between 25 and 50? d. what is the ...

### statistics

The average scuba diver can stay under water for 42 minutes with a standard deviation of 8 minutes.(show graph) B. what is the probabilty that a diver stays under for the less than 53 minutes? c.what is the probabilty that a diver stays under between 25 and 50? d. what is the ...

### physics

what's the area under a force-vs-time curve: momentum, impulse, or velocity? Impulse. (It happens to equal the change in momentum, as well) i thought so.. thanks for the clarification.

### physics

what does the slope of a position time graph represent?

### Physics

1. Compare the slope of the distance vs. time graph to the average of all your velocity values. Are they close? Why or why not? What does the slope of a distance (or displacement) vs. time graph mean? Explain the answer using your data.

### mechanics

a particle is moving with a velocity of 6m/s when subjected to an accelaration of -3m/s for 4 seconds.it then moves with a constant velocity for 2 seconds.draw a velocity-time graph.