Speed Distance Time Formula

Speed refers to the rate at which the object is traveling and is defined to mean the rate at which an object covers distance. Speed describes how quickly something is changing its position. Distance is the total length of path traveled by an object in moving from one position to another. In other words, it is the total amount of ground covered by an object in moving, irrespective of direction. When time is kept constant, Distance is directly proportional to velocity.

Formula For Speed Distance Time

The formula of speed distance time is mathematically explained as:

Where,

• the speed is x in m/s

• the distance traveled is d in meters

• t is the time taken in seconds

The distance traveled formula is explained as,

d = xt

The above formula can be used, and the unknown numeric value can be found if any of the two variables speed, distance, and time are provided.

Solved Problems

Problem 1: Lilly is riding a scooter at a speed of 6 km/hr for 2hr. How much distance will she travel?

Solution:

Given: Speed of the scooter x = 6 km/hr

Time taken t = 2 hr

Distance travelled d =?

Speed distance time formula is given as,

Distance traveled d = x × t

d = 6 km/hr × 2 hr

d = 12 km

 

Problem 2: If a car travels 150 kilometers in 3 hours, what is its speed?

Solution:

Given:

Time taken t = 3 hrs

Distance travelled d = 150 km

Speed distance time formula is given as,

Thus, the car's speed is 50 kilometers per hour.

Speed represents the magnitude of velocity. Distance refers to the amount of travel by an object. This simply means that time is a measurement of how long it takes to travel a certain distance at a given speed. These formulae probably can be understood by students and they can do more practice with different problems to understand the concept of motion and how it applies in various situations.

 

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