1. Distance from Speed and Time:
* Formula: Distance = Speed x Time
* Example: If you are traveling at 60 km/h for 2 hours, the distance covered is 60 km/h x 2 h = 120 km.
2. Distance from Acceleration, Initial Velocity, and Time:
* Formula: Distance = Initial Velocity x Time + (1/2) x Acceleration x Time²
* Example: If a car starts from rest (initial velocity = 0 m/s) and accelerates at 2 m/s² for 5 seconds, the distance traveled is 0 m/s x 5 s + (1/2) x 2 m/s² x (5 s)² = 25 meters.
3. Distance in Uniform Circular Motion:
* Formula: Distance = Circumference of the circle = 2πr
* Example: If an object is moving in a circle with a radius of 5 meters, the distance covered in one full revolution is 2π x 5 m = 10π meters.
4. Distance in Projectile Motion:
* Formula: There are various formulas for distance in projectile motion depending on the information given. One common formula is:
* Horizontal Distance: Distance = Initial Horizontal Velocity x Time
* Example: If a projectile is launched horizontally at 10 m/s and travels for 3 seconds, the horizontal distance covered is 10 m/s x 3 s = 30 meters.
5. Distance in Physics Problems:
* Pythagorean Theorem: For right-angle triangles, the distance can be found using the Pythagorean theorem: Distance² = Adjacent² + Opposite²
* Law of Cosines: For non-right-angle triangles, the distance can be found using the Law of Cosines: Distance² = Side 1² + Side 2² - 2 x Side 1 x Side 2 x cos(angle opposite to distance)
Important Considerations:
* Units: Make sure to use consistent units for all variables in the formula.
* Direction: Distance is a scalar quantity (magnitude only). If you need to find the displacement (distance with direction), additional information is needed.
Always choose the formula that best fits the given information and the type of motion involved.
