derive the second equation of motion

82 / 100

derive the second equation of motion

derive the second equation of motion

Q1- Deduce the expression for the distance travelled by a body moving with uniform acceleration, in a given time.
Or
Deduce the relation : s = ut + at²/2, where the symbols used have their usual meanings.

Ans. Second equation of motion. Suppose the body starts with initial velocity u and due to uniform acceleration a, its final velocity becomes v after time t. Then
Average velocity =(Initial velocity + Final velocity)/2
= (u +v) / 2
So, the distance covered by the body in time t is
S = Average velocity x Time
=[u+(v x t)]/2
=[u + (u + at) x t] / 2 [v=u+at]
= (2u + at2)/2
S= ut + at2/2

See this also………

different between gravitation and gravity.
what is scalar quantities ?
what is uniform speed ?
what is vector quantities ?
what is non-uniform speed ?
what is speed ?
what is velocity ?
what is average speed ?
examples of second law of motion ?
examples of third law of motion ?
Newtons First Law of Motion with examples.
what is second law of motion ?
what is third law of motion ?
what is motion | what is rest ?
newton’s law of motion formula.

derive the second equation of motion