Question

the speed of a body 'v' moving with uniform acceleration is tripled in covering a distance S what is its speed when it covers an additional distance S

Answer 1

Speed is  √17v  when it covers an additional distance S if  speed of a body 'v' moving with uniform acceleration is tripled in covering a distance S

Given:

the speed of a body 'v' moving

uniform acceleration

Speed tripled in covering a distance S

To Find:

Speed when it covers an additional distance S

Solution:

Step 1:

Calculate a

v² - u² = 2as

u = v

v = 3v  ( tripled)

s = S

=> (3v)² - v² = 2aS

=> 8v² = 2aS

=> a = 4v²/S

Step 2:

Assume that final speed is x  then total distance covered = S + S= 2S

and solve for x  by substituting a = 4v²/S

x² - v²= 2a(2S)

=> x² - v²= 2(4v²/S)(2S)  

=>  x² - v²= 16v²

=>  x² = 17v²

=> x = √17 v

Speed is  √17v  when it covers an additional distance S

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