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: Team Alpha was on their night patrol in Mystical Forest when they suddenly noticed that a flare was…

A: here distance we have to find  a = 9.8 v0 = 5 t = 5sec S=?

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

A:

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

A:

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: A truck traveling at 44 ft/sec decelerates at a constant 2 feet per second squared. How many feet…

A: Initial velocity =44 ft/ second Deceleration with constant speed of 2 feet/sec2

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

A:

Q: A plane travels for 3 hours at 300 Km/hr in the direction of S42∘W. How far west and how far south…

A: Speed of the plane, v = 300 km/hr.The distance covered by the plane in 3 hours, D = vt = 300 x 3 =…

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

A:

Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship…

A: At time t, the ship A moves 24t and ship B moves 16t. It can be found that, the ship A moves closer…

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.