To calculate distance, speed, and acceleration from displacement and time, you can use the following formulas:
Distance: Distance is the total length traveled by an object and is calculated by taking the absolute value of the displacement. Displacement is the change in position of an object.
Distance = |Displacement|
Speed: Speed is the rate at which an object covers a certain distance. It is calculated by dividing the distance traveled by the time taken.
Speed = Distance / Time
Average Acceleration: Average acceleration is the change in velocity per unit of time. It is calculated by dividing the change in velocity (displacement/time) by the time taken.
Average Acceleration = (Displacement / Time) / Time
Alternatively, you can calculate it using the formula:
Average Acceleration = (Final Velocity - Initial Velocity) / Time
Note: Acceleration refers to the average acceleration over the given time interval. Instantaneous acceleration at a specific moment would require more information, such as velocity at that specific moment.
It's important to note that these formulas assume uniform motion over the given time interval. If the motion is not uniform, or if there are changes in velocity or acceleration, additional calculations or formulas may be needed to accurately determine speed and acceleration at different points in time.