Question

An object is thrown vertically upwards and rises to a height of 10 m. Calculate the velocity with which the object was thrown upwards?​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Initial\:velocity=10\sqrt{2}\:m/s}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies Height= 10\:m \\ \\ \tt: \implies Final \: velocity( v ) = 0 \: m/s \\\\ \tt: \implies Acceleration(a) =- 10 \: m/s^{2} \\ \\ \red{\underline \bold{To \: Find:}}\\ \tt: \implies Initial\:velocity(u) = ?\\\\ \tt:\implies Distance\:travelled=?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies {v}^{2} = {u}^{2} + 2as \\ \\ \tt: \implies {0}^{2} = {u}^{2} + 2 \times ( - 10) \times 10 \\ \\ \tt: \implies - {u}^{2} = - 200 \\ \\ \tt: \implies {u}^{2} = 200 \\ \\ \tt: \implies u = \sqrt{200} \\ \\ \green{\tt: \implies u = 10 \sqrt{2} \: m/s}\\\\ \green{\tt\therefore Initial\:velocity\:of\:object\:is\:10\sqrt{2}\:m/s}$

Answer 2

$</p><p>\tt{\huge{\pink{Hello !!! }}}$

$</p><p>\tt{\red{Question \: - }}$

An object is thrown vertically upwards and rises to a height of 10 m. Calculate the velocity with which the object was thrown upwards?

We Know That

$\tt{ \purple{ \boxed{ \boxed{ \implies{ {v}^{2} = {u}^{2} + 2as }}}}}$

Substituting the values and solving we get :

$</p><p>\tt{\orange{\implies{u = 10 \sqrt{2} \:m/s. }}}$