Question

A ball is gently dropped from a height of
20 m. If its velocity increases uniformly at
the rate of 10 ms, with what velocity will
it strike the ground? After what time will it
strike the ground?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

• $\sf{v = 20m/s}$
• $\sf{t = 2s}$

Step-by-step explanation:

${\underline{\underline{\sf{\red{{\bigstar}\:\:\:Given:-}}}}}$

$\tiny\:\:\:\:\bullet\:\:\:\sf\orange{Height \ (s) = 20m }\\\tiny\:\:\:\:\bullet\:\:\:\sf\green{Acceleration \ (a) = 10m/s^2}$

${\underline{\underline{\sf{\orange{{\bigstar}\:\:\:ToFind:-}}}}}$

$\tiny\:\:\:\:\bullet\:\:\:\sf\purple{What\: velocity\: will\: it\: strike\: the\: ground}\\\tiny\:\:\:\:\bullet\:\:\:\sf\red{What \ time \ will \ it \ strike \ the \ ground}$

${\underline{\underline{\sf{\blue{{\bigstar}\:\:\: Solution:-}}}}}$

$\dag\:\underline{\mathfrak{\purple{Using\: 3rd\: equation \:of \:motion }}}$

$\red{\underline{\boxed{\sf{v^2 = u^2 + 2as}}}}$

${\underline{\sf{\:\:\:\:Where,\:\:\:}}}$

$\tiny\:\:\:\:\bullet\:\:\:\sf\orange{v = final \:velocity}\\ \tiny\:\:\:\:\bullet\:\:\:\sf\green{u = initial \:velocity}\\\tiny \:\:\:\:\bullet\:\:\:\sf\blue{a = acceleration\: or \:deceleration}\\\tiny \:\:\:\:\bullet\:\:\:\sf\red{s = displacement}$

$\dag\:\underline{\mathfrak{\purple{Substituting \: the \: values}}}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{ v^2 = 0+2\times 10\times 20}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{ v^2 = 400}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{v = 20m/s}$

$\dag\:\underline{\mathfrak{\purple{Using\: 1st\: equation \:of \:motion }}}$

$\red{\underline{\boxed{\sf{v = u + at}}}}$

${\underline{\sf{\:\:\:\:Where,\:\:\:}}}$

$\tiny\:\:\:\:\bullet\:\:\:\sf\orange{v = final \:velocity}\\ \tiny\:\:\:\:\bullet\:\:\:\sf\green{u = initial \:velocity}\\\tiny \:\:\:\:\bullet\:\:\:\sf\blue{a = acceleration\: or \:deceleration}\\\tiny \:\:\:\:\bullet\:\:\:\sf\red{t = time}$

$\dag\:\underline{\mathfrak{\purple{Substituting \: the \: values}}}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{t = \frac{v-u}{a}}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{t = \frac{20}{10}}$

$\tiny\qquad\quad\rightarrow\:\:\:\:\sf{t = 2s}$