Question

A boat starts from rest from one end of a bank of a river of width d flowing with velocity u. The boat is
steered with constant acceleration a in a direction perpendicular to the bank. If point of start is origin.
direction of bank is x axis and perpendicular to bank is y axis. Find the equation of trajectory of the boat​

Answer 1

Given:

A boat starts from rest from one end of a bank of a river of width d flowing with velocity u. The boat is steered with constant acceleration a in a direction perpendicular to the bank.

To find:

Equation of trajectory?

Calculation:

Along X axis (in time t):

$\rm\therefore \: x = ut$

Along Y axis (in time t):

$\rm \therefore \: y = 0 + \dfrac{1}{2} a {t}^{2}$

$\rm \implies\: y = \dfrac{1}{2} a {t}^{2}$

Putting value of "t" :

$\rm \implies\: y = \dfrac{1}{2} \times a \times { \bigg( \dfrac{x}{u} \bigg)}^{2}$

$\rm \implies\: y = \dfrac{a {x}^{2} }{2 {u}^{2} }$

So, equation of trajectory is:

$\boxed{ \bf\: y = \dfrac{a {x}^{2} }{2 {u}^{2} } }$

Answer 2

Answer:

The Answer is 2!!..

Hope it helps u mate!!