explain s=ut+1/2at² formula
with example
Answers
Explanation:
S=ut+
2
1
at
2
where
S= Distance traveled in the t seconds
u= Initial velocity of the motion
a= acceleration or retardation of the motion
Answer:
the distance calculator finds the distance travelled for displacement (s) of an object using its initial velocity (u) acceleration (a), andd time(t) traveled. the equation used is s=it+1/2 at^2 ; manipulated below to show how to solve for each individual variable
Explanation:
average velocity= total distance travelled
___________________
total time taken
average velocity = s/t ...(1)
average velocity can also be written as u+v/2
average velocity= u+v/2 ........(2)
from equations (1) and (2)
.
s/t=u+v/2 .....(3)
the first equation of motion is v= u+at .
substituting the value of v in equation (3) ,we get
s/t =u+u+at ( u+u+at)t
______ = ________
2. 2
= (2u+at)t. 2ut+at^2. 2ut. at^2
_____ = _______ = _____ + ____
2 2. 2. 2
s=ut +1/2 at^2