A starburst fireworks rocket is launched from a 10 m high platform. The height of the rocket, h, in metres, above the ground at time t, in seconds, is modeled by the function f (t) = -4. 9t² + 35t + 10 a) Find the average velocity for 2s

Q: A rocket sled having an initial speed of 112 mi/h is slowed by a channel of water. Assume that…

A: We have to form differential equation for velocity and then solve it to get velocity in terms of μ…

Q: a projectile is fired striaght upward from the ground level (S0=0) with velocity (V0=160ft/s) use…

A:

Q: The robotic arm needs to adjust its velocity to pick up components efficiently without causing…

A: Step 1: Step 2: Step 3: Step 4:

Q: The temperature, T°C of the air at height metres inside a blast furnace is modelled by the equation:…

A:

Q: 4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in…

A: Here we use derivatives to solve this problem.

Q: Suppose that the acceleration of a vehicle at time t (in s) is given by a(t) = 2t+ 1 (mph/s).If the…

A:

Q: A vehicle travels in a straight line for t minutes with a velocity of v(t) = 174t - 6t² feet per…

A: Step 1: Step 2: Step 3: Step 4:

Q: 11. AN OBJECT IS TOSSED VERTICALLY UPWARD WITH A VELOCITY OF 128 ft/sec AND REACHES A НEIGHT OF s(t)…

A: s(t) = -16t2+128tv(t) = ddts(t)v(t) = -16×2×t+128v(t) = -32t +128

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.