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.
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.
If the distance and velocity are both zero when time=0, thenDistance = 1/2 (acceleration) x (time)2
-- 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.
(Distance covered) and (time to cover the distance) is enough informationto calculate average speed during the time, but not enough to calculateacceleration.
Assuming you start from rest (0) and accelerate uniformly. > acceleration = distance / (0.5 * time2), then having found acceleration: > final velocity = acceleration * time
You can't you need the time and distance (once you have that it's just distance/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.
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.
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.
Without distance, you have to know time, initial velocity, and acceleration, in order to find final velocity.
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).
Acceleration= Distance divided by time
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.
-- 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.
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
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.
acceleration times speed
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.
No, acceleration is the change in speed over time.
Besides obviously distance at any instant, on a connected, continuous distance-time graph, you can obtain instantaneous velocity and instantaneous acceleration.
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.
The equation that does involve time is.. v² = v₀² + 2ad
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.
Acceleration = velocity/time Velocity = time * acceleration =====================