Question

What is the answer for this question:
Derive:
s=ut+1/2at2

Answer 1

Answer:

Consider an object which has travelled displacement s in the time t under uniform acceleration a.Let intial velocity of the object be u and the final velocity v.

s=1/2t(u+v) -1

from the veocity relation

v=u+at -2

substitute 1 in 2

s=1/2t(u+u+at)

=1/2t(2u+at)

s=ut+1/2at^2

Explanation:

This equation is known as the second equation of motion and it is used to calculate the distance travelled (s) by a body in time (t), ​the body having initial velocity (u) and acceleration (a).

Answer 2

Answer: s=distance travelled

=area of triangle BCD + area of rectangle ABCD

S=(1/2×BD×CD). +(AB ×BD)

S=1/2×t×(v-u)+ut

S=1/2t×(u+at-u)+ut

u and -u cancel

S=1/2at Square +ut

Or

S=ut+1/2at Square

Explanation:

Hope this help you

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