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

A:

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: 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…

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.