The formulas to calculate Acceleration (a) are:
1. \[ a = \frac{F}{m} \]
2. \[ a = \frac{Vf - Vi}{ΔT} \]
3. \[ a = \frac{2(ΔD - Vi \cdot ΔT)}{ΔT^2} \]
Where:
Acceleration is a measure of the change in velocity with respect to a change in time. It occurs when a force acts upon an object of a given mass. The force is measured as a net force, meaning the sum of all forces acting on the object. Force is typically displayed as a vector quantity, meaning it has direction, and therefore acceleration is also a vector quantity.
In SI units, acceleration is displayed as meters per second squared (m/s²), velocity is measured in meters per second (m/s), and time is measured in seconds (s).
Definition: Acceleration in physics is the rate of change of velocity of an object.
Formula: \( a = \frac{\Delta v}{\Delta t} \)
Example: \( a = \frac{20 - 0}{5} \)
Definition: Acceleration can also be calculated using distance and initial velocity.
Formula: \( a = \frac{2 \times (d - v_0 t)}{t^2} \)
Example: \( a = \frac{2 \times (100 - 10 \times 5)}{5^2} \)
Definition: Acceleration can be calculated without time using initial and final velocities and distance.
Formula: \( a = \frac{v_f^2 - v_0^2}{2d} \)
Example: \( a = \frac{30^2 - 10^2}{2 \times 50} \)
Definition: Acceleration can be calculated using Newton's second law, which relates force, mass, and acceleration.
Formula: \( a = \frac{F}{m} \)
Example: \( a = \frac{100}{20} \)
