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A rocket with an initial velocity of 5.1 m/s has an acceleration function as shown in...
A rocket with an initial velocity of 17.61m/s has an acceleration function as shown in the graph. a (m.s) t(s) 10 12 (a) What is the rocket's velocity at 10.33s?
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...
A rocket in deep space moving with velocity of 300 m/s has an initial mass of 5000 kg, of which 2000 kg are fuel. If it is ejecting gasses at a rate of 5 kg/s at a speed of 200 m/s relative to the rocket, then after 200 second of motion, its speed is
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?
A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of 2.60 m/s2 .At 30.0 s after blastoff, the engines suddenly fail, and the rocket begins free fall. What is the height of the rocket when the engine fails? Find the magnitudes of the rocket's velocity and acceleration at its highest point. How long after it was launched will the rocket fall back to the launch pad?
5. A car has an initial velocity of 10 m/s. It undergoes an acceleration of 1.5 m/sec? for 4 seconds then an acceleration of-2 m/sec2 for 6 seconds. a) Draw a motion diagram. There are two parts. Include the acceleration vector for each part. b) What is the final velocity of the car?
Liner motion A) A projectile has an initial horizontal velocity of 20 m/s at the edge of a rooftop. Find the horizontal and vertical components of its velocity after 2 s. B) A truck traveling at 60 km/h brakes to a stop in 50 m. What were the average acceleration and stopping time? C) An arrow is shot vertically upward with an initial velocity of 80 25 m/s. What is its maximum height? D) A hammer is thrown vertically upward...
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...
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. a rocket is projected upward with a velocity of 53.2 m/s. how many metres will it pass over in the third second of its upward travel? gravitational acceleration is 9.81 B. A bullet it shot vertically into the air with an initial velocity of 106.34 m/s. Calculate the maximum vertical distance (in metres) reached before the bullet begins to fall back to earth. Take gravitational acceleration to be 9.81 m/s2.