Question

body starts from the rest , moves with a constant accerlation of 2 m/s 2 for 10 s the same body then later travels a distance of 20 m with a uniform velocity to reach its destianation calculate the total time taken to reach destination

Answer 1

Explanation:

u=o

a=2m/s²

t=10

so v=u+at

v=0+2(10)

=20m/s

then the body travels distance with uniform velocity

s=20m

t=s/v

=20/20

1 s

therefore the total time taken to reach destination is 10+1=11 s

Answer 2

Question:

• body starts from the rest , moves with a constant acceleration of 2 m/s ² for 10 s the same body then later travels a distance of 20 m with a uniform velocity to reach its destination calculate the total time taken to reach destination

Answer:

• The time taken by the body to reach it's destination is 11 seconds

Explanation:

Given:

• A Body starts from the rest
• It moves with a constant acceleration of 2 m/s² for 10 seconds
• Then later travels a distance of 20 m with a uniform velocity to reach its destination

To Find:

• The total time taken to reach destination

Formulas Used:

$\bigstar \; \; {\underline{\boxed{\bf{ Time = \dfrac{Distance}{Velocity} }}}}$

$\bigstar \; \; {\underline{\boxed{\bf{ Final \;Velocity = u + at }}}}$

Required Solution:

• Using formula to find velocity

★ We know that ,

${\pink{\bigstar \; \; {{\boxed{\bf{ V_{( Velocity \; F )} = u_{(Velocity \; I)} + a_{(acceleration)}t_{(time)} }}}}}}$

★ Where,

• Velocity is considered as rate of change of position
• Acceleration is considered as the rate of change in velocity
• Time period is the progression of events from the past to the present into the future

★ Here we know ,

• Initial Velocity = 0 m/s [ Starts from rest ]
• Acceleration  = 2m/s ²
• Time taken = 10 seconds

According to the question:

❍ Concept : We've been said that a body starts from rest and moves with acceleration of 10 seconds and later moves a distance of 20m with the same velocity and reaches the destination

⋆ So , in order to find the time taken by thee body to reach the final destination from the initial point let's firstly find the velocity of the object and later find the time taken with thee help of it'd velocity

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Substituting the values we get ,

➻ ${\orange{\bf{ Velocity_{(Final)} = u + at }}}$

➻ ${\blue{\bf{ Velocity_{(Final)} = 0 + 2 m/s^2* 10 s}}}$

➻ ${\purple{\bf{ Velocity_{(Final)} = 0 +20 m/s }}}$

➻ ${\red{\bf{ Velocity_{(Final)} = 20 m/s}}}$  

★ Henceforth ,

• The final Velocity of the object is 20m/s

Now let's calculate the time taken :

➻ ${\pink{\bf{ Time_{(Total)} = Initial \; time + \dfrac{Distance}{Velocity} }}}$  

➻ ${\green{\bf{ Time_{(Total)} = 10s + \dfrac{20m}{20m/s} }}}$

➻ ${\purple{\bf{ Time_{(Total)} = 10s + 1s }}}$

➻ ${\red{\bf{ Time_{(Total)} = 11s}}}$

★ Henceforth ,

• Time taken is 11 seconds

Therefore:

• The time taken by the body to reach it's destination is 11 seconds

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