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Answered 2011-11-17 01:00:29

If the speed is zero at the beginning of the given time ... the object accelerates

from rest ... then

Distance (here comes the formula you need to keep for later) = 1/2 a T2

Multiply each side of the equation by 2 :

2 D = a T2

Divide each side by T2 :

2D/T2 = a

Acceleration = 2 x Distance/Time2

And that's the answer to your question "How . . . ".

If you ran into this problem on a test and you didn't know that formula up there

in the third line, you'd immediately run out of steam and your palms would begin

to sweat fiercely.

Here's where that formula comes from. If you can get a grip on yourself and

think clearly, here's how to build it whenever you need it:

-- You know the Distance the object moved and the Time it took, and you know

that it started from rest and accelerated uniformly.

-- "Acceleration" means how much speed it picks up every second. If it starts

from zero, then its speed at the end of 'T' is [ a T ].

-- The object's average speed during that time is distance/time . . . that's the

definition of speed.

-- The "average" means 1/2 (beginning speed + ending speed). But the

beginning speed was zero, so the average = 1/2 (ending speed).

-- Three steps ago: ending speed = a T

-- Two steps ago: Average speed = distance/time

-- One step ago: Average speed = 1/2 (ending speed) = 1/2 (a T)

-- You have two expressions for the average speed, so the expressions are equal:

Distance/time = 1/2 (a T)

Multiply both sides by the time:

Distance = 1/2 a T2

And that's the formula up in the third line. The solution for the acceleration

continues under it.

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How do you find distance when given acceleration and time?

If the distance and velocity are both zero when time=0, thenDistance = 1/2 (acceleration) x (time)2


How do you find force and acceleration when you have mass time and distance?

-- With the distance the mass moved and the time it took, all you can find is its average speed during that time. -- If you had its two different distances at two different times, then you could find an acceleration. -- With an acceleration and the mass, you can then find the force on it.


How do you find magnitude of acceleration when distance and time is givenm?

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How do you find final velocity and acceleration given only mass distance and time?

Assuming you start from rest (0) and accelerate uniformly. > acceleration = distance / (0.5 * time2), then having found acceleration: > final velocity = acceleration * time


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How do you calculate acceleration from distance and time?

Acceleration= Distance/time (distance divided by time) That's the dumbest answer I've ever heard.. Acceleration = Final Velocity - Initial Velocity/Time Velocity = Displacement/Time So you can't calculate acceleration from distance and time, you can only do velocity.


What is the dimensional formula of acceleration due to gravity?

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How do you find the acceleration if time is not given?

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What would you use to find the acceleration?

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How do you get the acceleration of an object?

Acceleration= Distance divided by time


Why the second is squared in acceleration?

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Is the distance-time graph for acceleration always a straight line?

-- If the distance-time graph is a straight line, then the magnitude of acceleration is zero. -- If the magnitude of acceleration is not zero, then the distance-time graph is curved.



What is the formula used to find distance?

The distance travelled by an object in a given time is given by:Distance = Speed * TimeAlternatively for an object that is accelerating:Distance = (Speed of object before acceleration is applied * Time) + (0.5 * Acceleration * Time squared)If the object is accelerating from speed zero, the first set of brackets is irrelevant.Also, if the object is falling to the ground, acceleration = 9.81


How do you find time with only distance and acceleration when Vi and VF are 0?

If you assume constant acceleration, then, when both initial and final velocity are zero, the velocity is zero all the time, and there is no movement. If the acceleration is variable, you can integrate to find the distance covered; in this case, if the resulting expression is not too complex, you might be able to solve for time.



What is the acceleration on a distance time graph measured in?

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Is acceleration the change of distance over time?

No, acceleration is the change in speed over time.


What does a distance time graph allow you to find?

Besides obviously distance at any instant, on a connected, continuous distance-time graph, you can obtain instantaneous velocity and instantaneous acceleration.


How do you find the time from acceleration and distance?

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Where is acceleration represented on a distance verses time squared graph?

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How do you find speed with acceleration and time?

Acceleration = velocity/time Velocity = time * acceleration =====================


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