Concept explainers
The speed of sound traveling through ocean water with salinity 35 parts per thousand has been modeled by the equation
where C is the speed of sound (in meters per second), T is the temperature (in degrees Celsius), and D is the depth below the ocean surface (in meters). A scuba diver began a leisurely dive into the ocean water; the diver’s depth and the surrounding water temperature over time are recorded in the following graphs. Estimate the rate of change (with respect to time) of the speed of sound through the ocean water experienced by the diver 20 minutes into the dive. What are the units?
Trending nowThis is a popular solution!
Chapter 14 Solutions
Calculus (MindTap Course List)
- A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)arrow_forwardThe distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100 miles in 2 hours a. Write the equation that relates d and t. b. How many miles would it travel in 5 hours?arrow_forwardA 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.arrow_forward
- 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.arrow_forwardSolve: ex2ex=e2.arrow_forwardA man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth.arrow_forward
- An arrow shot from the ground into the air at an initial speed of 108 ft/s. Use the formula h=16t2+v0t determine when the arrow will be 180 feet from the ground. Round the nearest tenth.arrow_forwardThe time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?arrow_forwardBen 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?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University