In a football game, a defensive player jumps up to block a pass by the opposing team’s quarterback. The player bats the ball downward with his hand at an initial vertical velocity of – 50 feet per second when the ball is 7 feet above the ground. How long do the defensive player’s teammates have to intercept the ball before it hits the ground?

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: A cyclist coasts up a 11.3° slope, traveling 19.0 m along the road to the top of the hill. If the…

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Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Grumpy, anti-social Professor Sosa loves standing on top of a 262 ft building and tossing water bal-…

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Q: Sofi  is 1.50 meters high and goes straight towards a streetlight  that is 6 meters high. (She walks…

A: Consider the following figure: AB represents height of streetlight. ED represents height of Person…

Q: An airplane travels at 165 km/h for 3 hr in a direction of 174 from a local airport. At the end of…

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

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Q: An automobile 20 feet long overtakes a truck 40 feet long that is traveling at 50. At what constant…

A: Let the speed of the automobile be v feet/second. Since both vehicle going in the same direction.…

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.