Math, asked by khushi5843, 5 months ago

Question 5.
A stone is dropped from the top of a 40 m high tower. Calculate its speed after 2 s. Also find the speed with
which the stone strikes the ground.
Answer:

Answers

Answered by vikram991
154

\huge{\underline{\pink{\tt{Given,}}}}

  • A stone is dropped from the top of a 40 m(height) high tower.
  • Time(t) = 2 sec.
  • Initial Velocity(u) = 0
  • Gravitational Acceleration(g) = 9.8 m/s²

\huge{\underline{\pink{\tt{To\:Find,}}}}

  • Find the speed with  which the stone strikes the ground.

\huge{\underline{\pink{\tt{Formula\:Used:}}}}

  • \bigstar \boxed{\sf{v = u + at}}
  • \bigstar \boxed{\sf{v^{2} = u^{2} + 2gs}}

\huge{\underline{\pink{\tt{Solution :}}}}

According to the First Condition :-

  • Speed After 2 Seconds.

\longrightarrow \underline{\sf{We\:know\:that,}}

\bigstar \boxed{\sf{v = u + at}}

Now, Put the Value in this Formula :-

\longmapsto \sf{v = 0 + 9.8 \times 2}

\longmapsto \boxed{\sf{v = 19.6\:m/s}}

Therefore,

  • The Speed of stone after 2 second will be 19.6 m/s.

\underline{\red{\sf{Now,We\:will\:find\:the\:speed\:with\:which\:the\:stone\:strikes\:the\:ground :-}}}

∴We know that :-

\bigstar  \boxed{\sf{v^{2} = u^{2} + gs}}

\longmapsto \sf{v^{2} = 0 + 2 \times 9.8 \times 40}

\longmapsto \sf{v^{2} = 784}

\longmapsto \sf{v = \sqrt{784}}

\longmapsto \boxed{\sf{v = 28\:m/s}}

Therefore,

  • Speed with which the stone strikes the ground is 28 m/s.

\rule{200}2


Anonymous: Good
EliteSoul: Nice
BrainlyPopularman: Awesome
Answered by Rubellite
331

\huge\bf{\underline{\underline{\sf{\red{Answer:}}}}}

\large\implies{\boxed{\sf{\blue{The\:speed\:of\:the\:stone\:after\:2s\:is\:19.6 m/s.}}}}

\large\implies{\boxed{\sf{\orange{The\:speed\:with\:which\:the\:stone\:strikes\:the\:ground\:is\:28\:m/s}}}}

\huge\bf{\underline{\underline{\sf{\purple{Explanation:}}}}}

Given :

  • Height = 40m
  • Time = 2 sec

To Find :

  • It's speed after 2s.
  • The speed with which the stone strikes the ground.

Solution :

Formulae used :

\large{\boxed{\sf{\pink{v=u+at}}}}

where, u = 0 and a = g(acceleration due to gravity)

Substituting the values, we get,

:\Rightarrow{\sf{v = 0+9.8 \times 2}}

:\Rightarrow{\sf{v = 19.6m/s}}

The speed of the stone after 2s is 19.6 m/s.

After that, we have to find the stone strikes the ground,

Fomulae used :

\large{\boxed{\sf{\pink{v^{2}=u^{2}+2gs}}}}

Substituting the values, we get,

:\Rightarrow\displaystyle{\sf{v^{2} = 0+2 \times 9.8 \times 40}}

:\Rightarrow\displaystyle{\sf{v^{2}=784}}

:\Rightarrow\displaystyle{\sf{v^{2}=784}}

:\Rightarrow\displaystyle{\sf{v=\sqrt{784}}}

:\Rightarrow\displaystyle{\sf{v=28m/s}}

Therefore, the speed with which the stone strikes the ground is 28m/s.

__________________________


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