An unmanned SpaceX rocket is fired off the launchpad in south Texas on a mission to the International Space Station. The rocket travels straight upwards, reaching a constant velocity of 267 m/s, but it explodes into three equal pieces a few seconds later (Elon is distraught). Immediately after the explosion, controllers at NORAD view the first piece moving to the right at 344 m/s, and the second piece moving straight upwards at 204 m/s. Part A: Draw a picture of the rocket before the explosion and after the explosion. (Hint: your vectors will be momentum vectors!) Part B: Write an equation(s) using the law of conservation of momentum. (Remember: x and y are two different directions!) Part C: What is the speed and direction (angle) of the third piece?

Answer part C). If the blue object actually had an inital veloctiy of 50 m/s j, how long after the green projetile is launched should the blue object be launched if they are to collide? Let the blue object be traveling upward when they collide.

Jeric, a professional rooftop futbol player, kicked a 4.0 kg ball off a rooftop that is 50 m off the ground, at 10 m/s oriented 30° degree above his horizon. His pal, Joshua, caught the ball from a window at a distant building that is 25 m off the ground. Joshua then released the ball from this heightand let the ball fall to the ground. A. What is the speed of the ball just before it reaches Joshua?B. What is the speed of the ball just before it reaches the ground?

A railroad flatcar is traveling to the right at a speed of 13.0 m/sm/s relative to an observer standing on the ground. Someone is riding a motor scooter on the flatcar.  a. What is the magnitude of the velocity of the motor scooter relative to the flatcar if its velocity relative to the observer on the ground is 18.0 m/s to the right?  b. What is the magnitude of the velocity of the motor scooter relative to the flatcar if its velocity relative to the observer on the ground is 3.0 m/s to the left?   c. What is the magnitude of the velocity of the motor scooter relative to the flatcar if its velocity relative to the observer on the ground is zero? What is the direction of the velocity of the motor scooter relative to the flatcar in this case?

Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 6.20 m/sm/s. The velocity of the ball relative to Mia is 4.80 m/sm/s in a direction 30.0∘∘ east of south.

3m v = 0 7. A projectile is launched at a 53° angle with a speed of 100 m/s. At the highest point, the projectile explodes into two parts, one three times heavier than the other. After the explosion, the lighter fragment's initial velocity is zero. a. What is the speed of the projectile just before the explosion? [60.2] b. What is the speed v of the heavier fragment just after the explosion? i) How high is the projectile when the explosion happens? ii) How long does it take each piece to reach the ground? с. d. i) How far horizontally is the projectile when the explosion happens? ii) If the projectile hadn't exploded, how far from the launch point would it have landed? (480.8m & 961.6m] e. What is the location of each fragment from the launch point when they hit the ground? [480.2m, 1121.76 m] f. i) What is the location of the center of mass of the two fragments when they land? ii) How does this compare with your answer in part d.ii?

Free Fall. Allan is on the ground YA,0 = 0 [m], and Bob is directly above him at YB,0 = 172.[m]. Bob drops a cannonball at the same time Allan shoots a similar cannonball directly upward. Allan’s cannonball was launched with enough speed so that both cannonballs will collide just as Allan’s cannonball reached its maximum height. What is the initial speed of Allan's cannonball ?

Jeric, a professional rooftop futbol player, kicked a 4.0 kg ball off a rooftop that is 50 m off the ground, at 10 m/ s oriented 30° degree above his horizon. His pal, Joshua, caught the ball from a window at a distant building that is 25 m off the ground. Joshua then released the ball from this height and let the ball fall to the ground. A. What is the speed of the ball just before it reaches Joshua? B. What is the speed of the ball just before it reaches the ground?

PROBLEMS 11.1◆ Speed addition. Darnell stands in a railroad coach that moves at speedc relative to the Earth. He tosses a tennis ball forward at speed c relative to the train. If common sense were correct, the tennis ball would be moving at speed c relative to the Earth. a. How fast does the tennis ball really move relative to the Earth? Darnell stands in a railroad coach that moves at speed c relative to the Earth. He tosses a tennis ball forward at speed c relative to the train. If common sense were correct, the tennis ball would be moving at speed c relative to the Earth. b. How fast does the tennis ball really move relative to the Earth?

A rifle is capable of shooting a bullet to an initial speed of 200m/s, if it is shot 60degrees upward, what is the maximum range? Neglect air resistance and consider gravity is constant 9.81m/s^2. a. 3352.1 b. 3531.2 c. 5132.3 d. 5331.2