Two tanks are engaged in a training exercise on level ground. The first tank fires a paint-filled training round with a muzzle speed of 244 m/s at an angle 11.6 ∘ above the horizontal while advancing toward the second tank with a speed of 14.0 m/s relative to the ground. The second tank is retreating at a speed of 33.5 m/s relative to the ground, but is hit by the shell. You can ignore air resistance and assume the shell hits at the same height above ground from which it was fired.
a) Find the distance between the tanks when the round was first fired.
b) Find the distance between the tanks at the time of impact.
Two tanks are engaged in a training exercise on level ground. The first tank fires a...
A dart gun is fired while being held horizontally at a height of 1.00 m above ground level and while it is at rest relative to the ground. The dart from the gun travels a horizontal distance of 5.00 m. A college student holds the same gun in a horizontal position while sliding down a 45.0° incline at a constant speed of 2.00 m/s. How far will the dart travel if the student fires the gun when it is 1.00...
Alternative Exercise 3.119 A pistol that fires a signal flare gives the flare an initial speed (muzzle speed) of 104 m/s Part A If the flare is fired at an angle of 61.0°aboe the horizontal on the level salt flats of Utah, what is its horizontal range? You can ignore air resistance. ANSWER km Part B If the flare is fired at the same angle over the flat Sea of Tranquility on the moon, where g-1.6m/s', what is its horizontal...
A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.65 s after the first, and the third echo arrives 1.18 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in...
A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.35 s after the first, and the third echo arrives 1.09 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in...
A projectile is fired from ground level at an angle of 61 ∘ above the horizontal with an initial speed of 35 m/s . Part A: What is the magnitude of its instantaneous velocity at the moment it is fired? Express your answer in meters per second to two significant figures. Part B: What is the direction (relative to horizontal) of its instantaneous velocity at the moment it is fired? Part C: What is the magnitude of its instantaneous velocity...
Two friends are playing golf. The first friend hits a golf ball on level ground with an initial speed of 36.5 m/s at an angle of 31.0° above the horizontal. (a) Assuming that the a ands at the same height from which it was hit, how far away from the golfer, in meters, does it land? Ignore air resistance. What constant acceleration equations will allow you to find the range, given the speed and angle? (Note that, depending on your...
A projectile is fired from the ground, reaches a maximum height of 50.8 m and lands a distance of 39.1 m away from the launch point. What was the projectile s launch velocity? You launch a projectile toward a tall building, from a position on the ground 39.3 m away from the base of the building. The projectile s initial velocity is 45.9 m/s at an angle of 58.7 degrees above the horizontal. At what height above the ground does...
A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 70.0m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g = 9.80m/s2 . Part A Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2? Answer is 52.5 Part...
A metal marble is launched with a speed of v0 = 30.0m/s at 5.0 ◦ relative to the horizontal, from a height of 1.0 m above ground, and towards a very tall vertical wall, which is 6.0 m away from the launch position. The projectile may first hit the wall, or the ground. Whichever it turns out to be, assume that this is an elastic, specular collision, so that the projectile bounces off. After some time, the projectile will have...
In the annual battle of the dorms, students gather on the roofs
of Jackson and Walton dorms to launch water balloons at each other
with slingshots. The horizontal distance between the buildings is
40.0 m, and the heights of the Jackson and Walton buildings are,
respectively, 14.0 m and 22.0 m. The first balloon launched by the
Jackson team hits Walton dorm 2.10 s after launch, striking it
halfway between the ground and the roof. Ignore air resistance.
(a) Find...