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The Euclidean distance between between two points with coordinates (x1, y1, z1) and (x2, y2, z2) is sqrt[(x1 -x2)2 + (y1 - y2)2 + (z1 - z2)2]

In 2-dimensional space, just drop the z terms.

Acceleration is the second derivative of the distance with respect to time. The rate of change of distance, with respect to time is the speed, and acceleration is the rate of change of speed with respect to time.

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How can one determine acceleration when provided with time and distance?

To determine acceleration when given time and distance, you can use the formula: acceleration 2 (distance / time2). This formula calculates acceleration based on the distance traveled and the time taken to travel that distance.


How can one determine acceleration using time and distance measurements?

To determine acceleration using time and distance measurements, you can use the formula: acceleration 2 (distance / time2). This formula calculates acceleration by dividing the distance traveled by the square of the time taken to travel that distance.


How can one determine the distance traveled by an object based on its acceleration?

To determine the distance traveled by an object based on its acceleration, you can use the formula: distance 0.5 acceleration time2. This formula calculates the distance traveled by an object with a constant acceleration over a certain period of time.


What is the formula for speed and acceleration?

The formula for speed is speed = distance / time, where speed is measured in m/s or km/h. The formula for acceleration is acceleration = change in velocity / time taken, where acceleration is measured in m/s².


How to find acceleration when given distance and time?

To find acceleration when given distance and time, you can use the formula: acceleration 2 (distance / time2). Simply divide the distance by the square of the time to calculate the acceleration.


What is the formula for distance as a function of acceleration and time?

Distance d=1/2 at2 is the formula.


What is mathematical formula for calculating acceleration?

Acceleration=Speed1-speed2/Distance traveled


How can one calculate the distance traveled by an object using the acceleration and time values?

To calculate the distance traveled by an object, you can use the formula: distance 0.5 acceleration time2. This formula takes into account the acceleration of the object and the time it has been moving to determine the distance traveled.


How can one determine velocity by using acceleration and distance?

To determine velocity using acceleration and distance, you can use the equation: velocity square root of (2 acceleration distance). This formula takes into account the acceleration of the object and the distance it has traveled to calculate its velocity.


How can one determine velocity using acceleration and distance?

To determine velocity using acceleration and distance, you can use the equation: velocity square root of (2 acceleration distance). This formula takes into account the acceleration of the object and the distance it has traveled to calculate its velocity.


How to find the distance traveled by an object with given acceleration and initial velocity?

To find the distance traveled by an object with a given acceleration and initial velocity, you can use the formula: distance (initial velocity time) (0.5 acceleration time2). This formula takes into account the initial velocity, acceleration, and time the object has been moving to calculate the total distance traveled.


What is the dimensional formula of acceleration due to gravity?

The dimensional formula of acceleration due to gravity is (LT^{-2}), where L represents length and T represents time. This is derived from the formula for gravitational acceleration (g = \frac{F}{m}), where force (F) is measured in mass times acceleration.