Question

If u=0, make t the subject of the following equation: s=ut+1/2at^2
Please look at image

Answer 1

Given :-

• u = 0

To find :-

Value of t

SOLUTION:-

As they given equation of motion ,

$s = ut + \dfrac{1}{2} at {}^{2}$

u = 0 Since ,

$s = (0)t + \dfrac{1}{2} at {}^{2}$

$s = 0 + \dfrac{1}{2} at {}^{2}$

$s = \dfrac{at {}^{2} }{2}$

$2s = at {}^{2}$

$t {}^{2} = \dfrac{2s}{a}$

$t = \sqrt{ \dfrac{2s}{a} }$

So, the value of t is √2s/a

Know more some formulae:-

》 v= u+at

》 u = v-at

》 v² - u² = 2as

》 v²-u²/2s = a

》 v²-u²/2a = s

》 a = v-u/t

》 s = vt-1/2at²