A rocket with an initial velocity of 17.61m/s has an acceleration function as shown in the...
A rocket with an initial velocity of 5.1 m/s has an acceleration function as shown in the graph. What is the rocket's velocity at 10.71 s?
A) Calculate the velocity vecotr as a function of time.
B) Calculate the position vector as a function of time.
C) Sketh the path of the rocket on a graph
Problem 3.40 A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components az(t) = at and ay(t) = ß- nyt, where a = 2.50 m/s, B = 9.00 m/s, and y= 1.40 m/s". At t=0 the rocket is at the origin...
8. A rocket is launched vertically upwards and experiences an acceleration of 4x10 m.s2 for 8 seconds. After this time, the engine is turned off and the rocket continues to rise to its maximum height. (a) Explain (using Newton's third law) why the rocket moves forward during the first 8 seconds. (2) (b) Calculate the velocity of the rocket 8 seconds after launching (2) (c) How long after launching does the rocket reach its maximum height? (2) (d) (2) At...
A fully fueled rocket has a mass of 21000 kg, of which 25000 kg is fuel. The burned fuel is exhausted at a rate of 190 kg/s at a speed of 2800 m/s relative to the rocket. If the rocket is fired vertically upward, calculate.... a.) The trust of the rocket b.) The net force on the rocket at blastoff and just before burnout (when all the fuel has been used up) c.) The rocket's velocity at burnout *** Ignore...
Same question qith different parts
f A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is atet) sat, at which time the fuel is exhausted and it becomes a nds later, the rocket's parachute opens, and the (downward) velocity slows inearty to-13 n/s in S s. The rocket then "hets" to the ground at that rate freely "Talling" body. Thirteer (a) Determine the position function s and the velocity function v (for all...
A toy rocket is launched upward with an initial velocity of 64ft/s from a platform that is 80ft. above the ground. The acceleration of the rocket is a(t) = -32ft. Find the height of the rocket after t seconds. When does it hit the ground? Use calculus methods to solve the problem.
A rocket with an initial velocity vo turns on its boosters so that its acceleration becomes a(t)= p2t2-k2, where k and p are positive constants with appropriate units. Find an expression for the maximum velocity of the rocket after t = 0.
A toy rocket fired straight up into the air has heights(t)= 160t-16t2 feer after t seconds.(a) what is the rocket's initial velocity (when t = 0)?? (b) what is the velocity after 2 seconds? (c) what is the acceleration when t=3?(d) at what time will the rocket hit the ground? (e) at what velocity will the rocket be traveling just as it smashes into the ground
QB: The Rocket Equation The velocity of a rocket t seconds after liftoff from earth can be modeled by v(t) = -g*t - v_e * Ln( (m-r*t)/m ) where g = 9.8 m/s^2, the usual earth gravity value, v_e = exhaust velocity, 3000 m/s (the e here isn't related to 2.71828...) m = initial mass of the rocket+fuel: 30,000 kg r = rate of using fuel = 160 kg/s i) Find a formula for the acceleration function a(t) and graph...
A 1000 kg weather rocket is launched straight up.The rocket motor provides a constant acceleration for 16 s, then the motor stops. The rocket altitude 20 s after launch is 6200 m. You can ignore any effects of air resistance. What was the rocket's acceleration during the first 16s? What is the rocket's speed as it passes through acloud 6200 m above the ground?