Question

2. A boat is slowed by a drag force F(v). Its velocity decreases according to the formula
v = c2(t − t1)2
where c is a constant and t1 is the time at which it stops. Find t he force F(v) as a function of v.

Answer 1

Given :-

Sides of rectangle in ratio 4:3

perimeter of rectangle = 210

To find :-

The area of rectangle

Now ,

Let the side of rectangle be x

Sides = 4x and 3x

$\bigstar{\boxed{\sf{Perimeter\ of \ rectangle= 2(length+breadth)}}}$

$\longmapsto\sf 2(4x+3x)= 210\\ \\ \longmapsto\sf 7x=\cancel{\dfrac{210}{2}}\\ \\ \longmapsto\sf 7x= 105\\ \\ \longmapsto\sf x=\cancel{\dfrac{105}{7}}\\ \\\longmapsto\sf x= 15$

Now the sides of rectangle

$\sf 4x = 15 \times 4 = 60 \ unit \\ \\ \sf 3x = 3 \times 15 = 45 \ unit$

Now the Area of rectangle

$\bigstar{\boxed{\sf{Area\ of \ rectangle= length\times breadth}}}$

$\longmapsto\sf Area \ of \ rectangle = l\times b\\ \\ \longmapsto\sf Area \ of \ rectangle= 60\times 45\\ \\ \longmapsto\sf Area \ of \ rectangle = 2700 \ sq. unit$

$\boxed{\sf{\purple{Area \ of \ rectangle =2700 \ sq. unit }}}$