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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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Related Questions

How do you find time when given distance and acceleration?

Distance = (1/2 of acceleration) x (time squared)You can change this around to solve it for acceleration or time.(Time squared) = (distance)/(half of acceleration)Time = the square root of [ (2 x distance)/(acceleration) ]Be careful . . .This is only true if the distance and the speed are both zero when the time begins.

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?

(Distance covered) and (time to cover the distance) is enough informationto calculate average speed during the time, but not enough to calculateacceleration.

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

How do you find acceleration when only given distances?

You can't you need the time and distance (once you have that it's just distance/time).

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?

An acceleration is a velocity divided by a time, so you have: acceleration = velocity / time acceleration = (distance / time) / time acceleration = distance / time2 The gravitational field can also be expressed as force / mass; this is equivalent to distance / time2.

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

To find the acceleration if the time is not given, you will need to know the velocity and the distance. Then, use this equation: d = vt + (1/2)at2 to solve the problem by plugging in your numbers for the distance and the velocity.

How do you find a final velocity without distance but given time?

Without distance, you have to know time, initial velocity, and acceleration, in order to find final velocity.

What would you use to find the acceleration?

The answer depends on the context: You can find the acceleration if you know any three of : initial velocity, final velocity, time, distance travelled. You can find it if you know the mass and force. You know the two masses and the distance between them (gravitational acceleration).

How do you get the acceleration of an object?

Acceleration= Distance divided by time

Why the second is squared in acceleration?

it is very simple........... velocity or speed = distance / time. acceleration = velocity / time but, we know that velocity = distance / time so just substitute the equation of velocity in acceleration...... so, finally we get , acceleration = distance/time*time so it is time squared.

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?

Acceleration has a dimensionality of length/time^2, so if you were measuring the distance in meters and the time in seconds, the acceleration would be m/s^2.

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?

You can use the formula for distance covered:distance = (initial velocity) x (time) + (1/2) (acceleration) (time squared) Solve for time. This assumes constant acceleration, by the way. If you assume that the initial velocity is zero, then you can omit the first term on the right. This makes the equation especially easy to solve.

How to find out the velocity when acceleration and distance is given?

The equation that does involve time is.. v² = v₀² + 2ad

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

In general, nowhere, because acceleration is the second derivative of distance with respect to time. However, in the special case of a constant acceleration, the acceleration will be twice the slope of the line, since distance = 0.5 * time squared.

How do you find speed with acceleration and time?

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

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