Physics is the branch of Science which involves the study of physical properties of matter and its energy. The concepts of Physics explain about the mechanics of our day-to-day life and based on these properties, various physics equations have been formulated.These equations relate different physical quantities together and based on the information given, they are also represented graphically where a physical quantity’s characteristics can be analyzed and evaluated. Physics equations in one-dimensional motion are also known as kinematic equations and they form the very important section of Physics called as Mechanics.
Example 1: An object initially travels with a velocity of 10m/sec and in a time interval of 6secs travels with a final velocity of 40m/sec. What is the acceleration of the car?
Given: Initial velocity of the object, vi= 10m/sec
Final velocity, vf= 40m/sec
Time taken, t= 6 seconds
Hence we use the Kinematic equation: vf = vi + at where ‘a’ is the acceleration of the object.
40= 10 + (a * 6) ==>30= 6a ==>a= 30/10 = 5m/sec2
Therefore the acceleration of the object, a = 5m/sec2.
Example 2: A car starts from rest and accelerates at 3m/sec2 for a certain distance over a time period of 4secs. Determine the distance travelled by the car.
Given: Car starts from rest ==>initial velocity, vi = 0m/sec
Acceleration of the car, a= 3m/sec2
Time period, t= 4secs
Hence we use the Kinematic equation: Distance, d = (vi* t) + (1/2 * a * t2)
d= (0 * 4) + (1/2* 3* 42) ==> d = 24m
Hence distance travelled by the car, d = 24m