1.

A motorboat starts from rest and morewith uniform acceleration. If it attainsthe velocity of 25 m/s in l0s calculatethe acceleration and the distancetravelled in that time​

Answer»

Answer

  • Acceleration , a = 2.5 m/s²
  • DISTANCE travelled , s = 125 m

Given

  • A MOTORBOAT STARTS from rest and more  with UNIFORM acceleration. If it attains  the velocity of 25 m/s in 10 s

To Find

  • The Acceleration and distance travelled in that time

Concept Used

We need to apply equations of motion .

  • v = u + at
  • s = ut + ¹/₂ at²
  • v² - u² = 2as

Solution

\rm Initial\ velocity,\; u=0\ m/s \;\;[ \; \bf Since\ starts\ from\ rest \;]\\\\\rm Final\ velocity\ ,v=25\ m/s\\\\\rm Time\ ,t=10\ s\\\\\rm Acceleration,a=?\ m/s^2\\\\\rm Distance,s=?\ m

\rm Apply\ first\ equation\ of\ motion.\\\\\implies \rm v=u+at\\\\\implies \rm 25=0+a(10)\\\\\implies \rm 25=10a\\\\\implies \rm a=2.5\ m/s^2\\\\\rm Now\ apply\ third\ equation\ of\ motion\ .\\\\\implies \rm v^2-u^2=2as\\\\\implies \rm 25^2-0^2=2(2.5)s\\\\\implies \rm 625=5\ s\\\\\implies \rm s=125\ m


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