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  1. The formula is: F = G m 1 m 2 r 2 {\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}\ } where m 1 {\displaystyle m_{1}} and m 2 {\displaystyle m_{2}} are any two masses, G {\displaystyle G} is the gravitational constant , and r {\displaystyle r} is the distance between the two point-like masses.

  2. Because acceleration is velocity in m/s divided by time in s, the SI units for acceleration are \( m/s^2\), meters per second squared or meters per second per second, which literally means by how many meters per second the velocity changes every second.

  3. Near the surface of the Earth, the acceleration due to gravity g = 9.807 m/s 2 (metres per second squared, which might be thought of as "metres per second, per second"; or 32.18 ft/s 2 as "feet per second per second") approximately. A coherent set of units for g, d, t and v is essential.

  4. Calculating acceleration involves dividing velocity by time — or in terms of SI units, dividing the meter per second [m/s] by the second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared. ⎡ ⎢ ⎣

  5. Definition. Meters per second squared is the unit of acceleration in the International System of Units (SI), indicating how much an object's velocity changes per second for each second of time. This measurement reflects not only the speed at which an object is moving but also how quickly it is speeding up or slowing down.

  6. Defining Acceleration. Throughout this chapter we will use the following terms: time, displacement, velocity, and acceleration. Recall that each of these terms has a designated variable and SI unit of measurement as follows: Time: t, measured in seconds (s) Displacement: Δd, measured in meters (m) Velocity: v, measured in meters per second (m/s)

  7. The metre per second squared is the unit of acceleration in the International System of Units (SI). As a derived unit, it is composed from the SI base units of length, the metre, and time, the second.

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