A ball is thrown upward from the top of a 200 foot tall building with a velocity of 40 feet per second. Take the positive direction upward and the origin of the coordinate system at ground level. What is the initial value problem for the the position, LaTeX: x\left(t\right)\:x ( t ), of the ball at time t

Initial Value Problem:

Step-by-step explanation:

The ball is thrown vertically downward, this means that acceleration due to gravity,

The height of the ball at time, t = 0 at the top of the building will be:

The velocity at which the ball is thrown from the top of the building,

Therefore the initial value problem is written below:

Let us solve for x(t)

Integrate both sides

Integrate both sides

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.