Physics, asked by monsterboyrk77, 5 months ago

A stone is thrown vertically upward with an initial velocity
of 30 m/s. Find the maximum height reached by the stone.
Also calculate the total distance covered by the stone.
(Take g= 10 m/s2

Answers

Answered by Anonymous
12

Question:-

A stone is thrown vertically upward with an initial velocity

of 30 m/s. Find the maximum height reached by the stone. Also calculate the total distance covered by the stone. (Take g= 10 m/s2)

Answer:-

\large { \rm{ \red{Given:- }}}

  • A stone is thrown vertically upward with an initial velocity of 30 m/s.

\large { \rm{ \blue{To  \: Find:- }}}

  • Maximum height reached by the stone.
  • Total distance covered by the stone.

\large { \rm{ \green{Directions:- }}}

⟹At the highest point:-

{ \pink{ \bigstar}} { { \boxed{ \sf{Final \:  Velocity=0}}}}

{ \pink{ \bigstar}} { { \boxed{ \sf{Initial \:  Velocity=30m/s}}}}

Where,

  • - g is the acceleration upward.

Using Equation of Motion:-

{ { \bigstar}} {  \orange{ \underline{ \sf{ {v}^{2}  </u><u>-</u><u> {u}^{2}  </u><u>=</u><u> </u><u>2as}}}}

 \implies \tt {0}^{2}  </u><u>-</u><u> {30}^{2}  </u><u>=</u><u> 2as

 \implies \tt 0  </u><u>-</u><u> 900  </u><u>=</u><u> 2 (-g)s

 \implies \tt  </u><u>-</u><u>  900 </u><u>=</u><u>  2 (-10)s

 \implies \tt    </u><u>-</u><u>9</u><u>0</u><u>0</u><u>=</u><u> </u><u>-20s</u><u>

 \implies \tt    900= 20s

 \implies \tt    900= 20s

 \implies \tt    45= s

 \implies{ \boxed{ \sf{ s = 45}}}

So, the maximum height reached is 45m.

Total Distance:- ?

 \implies \tt45 + 45 = 90m

 {  \orange{ \boxed{ \mathrm{ So, the \:  total  \: distance \:  covered  \: is \:  90m. }}}}

Answered by Saurabhroyal
7

Answer:

Initial Velocity u=40

Fianl velocity v=0

Height, s=?

By third equation of motion

v2−u2=2gs

0−402=−2×10×s

s=20160

⇒s=80m/s

Toatl distance travelled by stone = upward distance + downwars distance =2×s=160m

Total Diaplacement =0, Since the initial and final point is same.

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