Graph the path of the human cannonball if the initial velocityout of the cannon is 50 miles per hour at an angle of 60 degree from the horizontal.

The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of pressure to break a 1 .5-foot long board, how many pounds of pressure would he need to use to break a 6 foot long board?

The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (______ , ________ ).

The volume of a gas in a container varies inversely as the pressure on the gas. If a container of argon has a volume of 336 cubic inches under a pressure of 2,500 psi, what will be its volume if the pressure is decreased to 2,000 psi?

Suppose the wheel of Dan’s bike is 70cm in diameter. It’s turning at a rate of 50 revolutions per minute. What is the linear speed in cm per minute?

A man whose eye level is 6 ft above the ground walks toward a billboard at a rate of 2 ft>s. The bottom of the billboard is 10 ft above the ground, and it is 15 ft high. The man’s viewing angle is the angle formed by the lines between the man’s eyes and the top and bottom of the billboard. At what rate is the viewing angle changing when the man is 30 ft from the billboard?

High-speed stroboscopic photographs show that the head of a 200-g golf club is traveling at 40 m/s just before it strikes a 46-g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 30 m/s. Find the speed of the golf ball just after impact. m/s

An airliner passes over an airport at noon traveling 500 mi / hr due east. At 1:00 p.m., another airliner passes over the same airport at the same elevation traveling due north at 580 mi / hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 3:00 p.m.? The equation relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between the second airliner and the airport, b, and the horizontal distance between the two airliners, c is Differentiate both sides of the equation with respect to t. da db dc dt dt (Do not simplify.) At 3:00 p.m., the distance between the airliners is changing at a rate of about (Round to the nearest tenth as needed.)

A projectile is given an initial velocity of 31.5 m/s at an angle of 51.5 degrees with respect to the horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 10.5 m/s? A projectile is launched with an initial velocity of 27.2 m/s at 64.7 degrees with respect to the horizontal. What is the speed of the projectile 1.83 s after being launched. Assume the speed is measured in m/s.   A projectile is launched with an initial velocity of 46.8 m/s at an angle of 31.2 degrees with respect to the horizontal. In meters, what is the maximum upward displacement of the projectile?

A tall pipe is 30 feet tall. A person with a height of 6 feet walks away from the pipe along a straight path. If the tip of their shadow is moving at a rate of 3 feet per second when they are 20 feet away, at what rate are they moving away from the pipe?