NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = - 4.9t² + 286t + 101. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, in terms of time is…

A:

Q: Suppose a hiker, standing near the edge of a 416 meter tall cliff, throws a rock downward vertically…

A:

Q: The number of people in a school that have caught a cold can be modeled by C(d) = 3(4) where C(d) is…

A: c(d) = 3(4)d after 5 day so d =5 c(5) = 3(4)5 c(5) =3(1024) c(5) = 3072   time to catch 192 people…

Q: object is tossed vertically upward from ground level. Its height  s(t),  in feet, at time t seconds…

A: Given query is to find the when object return to the point from which it was thrown.

Q: If a bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

A: the bullet from a pistol is fired straight up from the ground, its height t seconds after it is…

Q: NASA launches a rocket at t =0 seconds. Its height, in meters above sea-level, as a function of time…

A: Given that, the function is ht=-4.9t2+325t+346. it is known that, the height of the rocket will be…

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.