Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal- loons at unsuspecting students below. If he drops a balloon, how long will it take for it to hit a 6-foot-tall student? What will the velocity of the bag be when it makes contact?

Q: Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per…

A: In this question we have to find the linear speed in cm per minute.

Q: A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a…

A: The objective of this question is to find the rate at which the person is moving away from the pipe.…

Q: An airplane heading due east has a velocity of 200 miles per hour. A wind is blowing from the north…

A: The velocity of the plane=200 mph  The wind hits the plane in the direction of south. so, the…

Q: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

A:

Q: A baseball diamond is 90 feet square, and the pitcher's mound is at the center of the square (which…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: At the beginning of a race, a yatch crosses the start line and sails in a westerly direction at a…

A: The objective of this question is to determine the distance and direction the yacht has travelled…

Q: A street light is at the top of a 18 foot tall pole. A 6 foot tall woman walks away from the pole…

A: Let AB be the pole=18ft CD be height of woman=6 ft let AD=x and DE=y dxdt=4 ft/sec (given)

Q: A rock dropped from an unknown height, strikes the ground with speed of 98 m/s. Find the height from…

A: The position function of the rock is given by,The gravity is g=9.8 m/s and the initial velocity is…

Q: A street light is mounted at the top of a 15 ft tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A cylindrical vessel whose diameter and altitude are 26 cm and 500 cm respectively, is filled with…

A: Given  The diameter of cylindrical vessel  dc=26 cm. The altitude of cylindrical vessel is H=500…

Q: A ball is shot from the ground straight up into the air with initial velocity of 48 ft/sec. Assuming…

A: to find the height attained by ball given initial velocity u = 48 ft/s

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.