A person standing at the edge of a cliff throws a rock upward from a height of 230 ft above ground level with an initial velocity of 48 ft/s. Calculate the velocity of the rock when it is exactly 32 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = 16t² + 48t + 230 as the position function, where his in feet, t in seconds. Ignore air resistance.)

A person standing at the edge of a cliff throws a rock upward from a height of 230 ft above ground level with an initial velocity of 48 ft/s. Calculate the velocity of the rock when it is exactly 32 ft above the person's hand. Separate multiple answers with a comma. (Hint: Use h(t) = 16t² + 48t + 230 as the position function, where his in feet, t in seconds. Ignore air resistance.)

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.4: Solve Applications Modeled By Quadratic Equations

Problem 10.84TI: A man throws a ball into the air with a velocity of 96 ft/sec. Use the formula h=16t2+v0t to...

See similar textbooks

Similar questions

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
A man throws a ball into the air with a velocity of 96 ft/sec. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth of a second.
Change the function y=3(0.5)x to one having e as the base.
An arrow is shot from the ground into the air at an initial speed of 108 ft/sec. Use the formula h=16t2+v0t to determine when the arrow will be 180 feet from the ground. Round the nearest tenth of a second.
Ben starts walking along a path at 4 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long will it be before Amanda catches up to Ben?
YOUR TURN Find dy if y=300x23,x=8, and dx=0.05.
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?
Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.