The velocity V of a free-falling object is directly proportional to the time T (in seconds) that the object has fallen. The velocity of a falling object is - 64 feet per second after the object has fallen for 2 seconds. Find the velocity of the object after it has fallen for a total of 4 seconds.

Q: Two boats start from the same point. Boat A travels north at 60 mph. Boat Btravels west at 25 mph.…

A: Let x= distance of the first boat from the origin , y= distance of the second boat from the origin.2…

Q: An airplane is flying at a steady elevation of 14,500 feet.   The airplane will need to ascend to…

A: Given, An airplane is flying at a steady elevation of 14,500 feet. The airplane will need to ascend…

Q: The number of days that a given number of bushels of corn will last when feeding cattle varies…

A:

Q: After about 9 hours of a steady 50-knot wind, the height of waves int he ocean was found to be 23…

A: Let y feet be the height of waves after x hours of a steady 50-knot wind. Then according to the…

Q: Lucy plants 29 flowers in 2 hours how do you find the constant rate

A: Total flowers planted in 2 hours = 29

Q: Kelly's office recycled a total of 162 kilograms of paper over 9 weeks. After 12 weeks, how many…

A:

Q: y = 4/x2

A: The given function is y=4x2. Sketch the graph of the above function as shown below.

Q: A missile flies 40 miles in 20 minutes. Calculate the missile’s rate of change

A:

Q: Jennifer went to a nail salon and she was charged fifty-five dollars for four hours in the salon.…

A: Write an equation

Q: After planting an Aspen tree that is 60 inches (5 feet) tall,  an Aspen tree will then grow at a…

A:

Q: A snowboarder starts at the top of a mountain that is 2,500 feet above sea level. The snowboarder…

A: option (D) is correct

Q: Wilbur landed his plane, causing it to descend at a rate of 0.2 kilometers per minute. He reached…

A: Given that Wilbur landed his plane, causing it to descend at a rate of 0.2 kilometers per minute. He…

Q: The percent p of prescription filled with generic drugs at a large pharmacy chain from 2008 to 2014…

A:

Q: Tyler’s walking rate is 5 yards per one second. Write an equation that utilizes Tyler’s walking…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.