Curtain of death. A large metallic asteroid strikes Earth and quickly digs a crater into the rocky material below ground level by launching rocks upward and outward. The following table gives five pairs of launch speeds and angles (from the horizontal) for such rocks, based on a model of crater formation. (Other rocks, with intermediate speeds and angles, are also launched.) Suppose that you are at x = 20 km when the asteroid strikes the ground at time t = 0 and position x = 0 (Fig. 4-52). (a) At t = 20 s, what are the x and y coordinates of the rocks headed in your direction from launches A through E? (b) Plot these coordinates and then sketch a curve through the points to include rocks with intermediate launch speeds and angles. The curve should indicate what you would see as you look up into the approaching rocks. Launch Speed (m/s) Angle (degrees) A 520 14.0 B 630 16.0 C 750 18.0 D 870 20.0 E 1000 22.0 Figure 4-52 Problem 94.
Curtain of death. A large metallic asteroid strikes Earth and quickly digs a crater into the rocky material below ground level by launching rocks upward and outward. The following table gives five pairs of launch speeds and angles (from the horizontal) for such rocks, based on a model of crater formation. (Other rocks, with intermediate speeds and angles, are also launched.) Suppose that you are at x = 20 km when the asteroid strikes the ground at time t = 0 and position x = 0 (Fig. 4-52). (a) At t = 20 s, what are the x and y coordinates of the rocks headed in your direction from launches A through E? (b) Plot these coordinates and then sketch a curve through the points to include rocks with intermediate launch speeds and angles. The curve should indicate what you would see as you look up into the approaching rocks. Launch Speed (m/s) Angle (degrees) A 520 14.0 B 630 16.0 C 750 18.0 D 870 20.0 E 1000 22.0 Figure 4-52 Problem 94.
Curtain of death. A large metallic asteroid strikes Earth and quickly digs a crater into the rocky material below ground level by launching rocks upward and outward. The following table gives five pairs of launch speeds and angles (from the horizontal) for such rocks, based on a model of crater formation. (Other rocks, with intermediate speeds and angles, are also launched.) Suppose that you are at x = 20 km when the asteroid strikes the ground at time t = 0 and position x = 0 (Fig. 4-52). (a) At t = 20 s, what are the x and y coordinates of the rocks headed in your direction from launches A through E? (b) Plot these coordinates and then sketch a curve through the points to include rocks with intermediate launch speeds and angles. The curve should indicate what you would see as you look up into the approaching rocks.
A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 23 m/s at an angle θ = 16 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position.
A) With what speed, vf in meters per second, does the stone strike the ground?
B) If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?
If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?
A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 15 m/s at an angle θ = 29 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position.
With what speed, vf in meters per second, does the stone strike the ground?
vf =
If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different? Yes or No
A fly ball is hit to the outfield during a baseball game. Let’s neglect the effects of air resistance on the ball. The motion of the ball is animated in the simulation (linked below). The animation assumes that the ball’s initial location on the y axis is y0 = 1 m, and the ball's initial velocity has components v0x = 20 m/s and v0y = 20 m/s. Calculate the horizontal distance the baseball travels before landing on the ground at y = 0. (Write only the numerical value rounded to a whole number and exclude the unit)
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