5.An arrow is short into the air so that its horizontal velocity is 45 feet per second and its vertical velocity is 15 feet per second. Find the velocity of the arrow and angle

Q: What is the distance between points A=(2,5)A=(2,5) and C=(−3,2.5)C=(-3,2.5)?

A: Given:A= (2,5) and C= (-3,2.5)

Q: Suppose the velocity of an object moving along a line is positive. Are displacement and distance…

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Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

A:

Q: Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground will…

A: Given, Mo is on a baseball team and hears that a ball thrown at a 44 degree angle from the ground…

Q: A balloon was rising vertically in the air from the ground level that was 12 feet away from an…

A: Given,  a balloon was rising vertically in the air from the ground level that was 12 feet away from…

Q: Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle…

A: Given that,

Q: The projectile is thrown at the angle of 45 degrees with the initial velocity of 1 meter per second.…

A:

Q: A wheelchair ramp that is 40-feet long has a vertical increase of 4 feet. What angle does the ramp…

A:

Q: Find an expression for the distance between (a, b) and (a, c) if b > c.

A: we have to find an expression for the distance between (a, b) and (a, c) if b>c.

Q: Find the obtuse angle formed by the lines x+3y+3=0 and x-y-2=0.

A: Topic - angle between lines We will take absolute value of angle as sign depends Up on which line we…

Q: Please help find the point of intersection and the angle between the lines y = x + 3 and y = 2x + 1.

A:

Q: A projectile is given an initial velocity of 31.5 m/s at an angle of 51.5 degrees with respect to…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Graph the path of the human cannonball if the initial velocityout of the cannon is 50 miles per hour…

A: Given: Initial velocity is V0=50 miles per hour. Angle of projectile θ=60°. The parametric…

Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

A:

Q: Two aeroplanes are departing from an airport. They are flying in a straight line where their flight…

A: Tow airplanes are departing from an airport. They are flying in a straight line where their flight…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.