Question

A motorboat starts from rest and more
with uniform acceleration. If it attains
the velocity of 25 m/s in l0s calculate
the acceleration and the distance
travelled in that time​

Answer 1

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

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

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