Question

Derive the equations of uniformly accelerated linear motion using algebraic method.

GSEB - Class 9 Chapter - 1.Motion Page 15

Answer 1

Answer:

the first equation is

v=u+at

2nd eq.

v2- u2=2as

3rd eq.

s=ut+1/2 at2

Answer 2

Dear Student,

# Answer with explanation -

(1) 1st kinematics equation -

According to definition of acceleration,

acceleration = change in velocity / time

a = (v-u)/t

at = v - u

v = u + at

(2) 2nd kinematics equation -

According to definition of velocity,

average velocity = distance / time

(v+u)/2 = s/t

Substitute v = u+at,

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

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

s = ut + 1/2 at^2

(3) 3rd kinematics equation -

Squaring v = u+at on both sides,

v^2 = u^2 + a^2.t^2 + 2uat

v^2 = u^2 + 2a (1/2 at^2 + ut)

v^2 = u^2 + 2as

Thanks dear...