QULSTION Calculating Projectile Motion: Hot Rock Projectile Kilauea in Hawaii is the world's most continuously active volcano. Very active volcanoes characteristically eject red-hot rocks and lava rather than smoke and ash. Suppose a large rock is ejected from the volcano with a speed of 94.7 m/s and at an angle 63.3° above the horizontal, as shown in Figure. The rock strikes the side of the volcano at an altitude 29.2 m lower than its starting point. What is the magnitude of the rock's velocity at impact? Input your answer in m/s using 3 significant figures.

QULSTION Calculating Projectile Motion: Hot Rock Projectile Kilauea in Hawaii is the world's most continuously active volcano. Very active volcanoes characteristically eject red-hot rocks and lava rather than smoke and ash. Suppose a large rock is ejected from the volcano with a speed of 94.7 m/s and at an angle 63.3° above the horizontal, as shown in Figure. The rock strikes the side of the volcano at an altitude 29.2 m lower than its starting point. What is the magnitude of the rock's velocity at impact? Input your answer in m/s using 3 significant figures.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 15CQ: For a fixed initial speed, the range of a projectile is determined by the angle at which it is...

See similar textbooks

Similar questions

For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (closer to the horizontal) is preferable. When would it be necessary for the archer to use the larger angle? Why does the punter in a football game use the higher trajectory?
You can use any coordinate system you like to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle with respect to the horizontal. Let the building be 50.0 m tall, the initial horizontal velocity be 9.00 m/s, and the initial vertical velocity be 12.0 m/s. Choose your coordinates such that the positive y-axis is upward, the x-axis is to the right, and the origin is at the point where the ball is released, (a) With these choices, find the balls maximum height above the ground and the time it takes to reach the maximum height. (b) Repeat your calculations choosing the origin at the base of the building.
A ball is thrown with an initial speed vi at an angle i with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/6. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the balls speed at the peak of its path, (c) the initial vertical component of its velocity, (d) its initial speed, and (e) the angle i. (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. (g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
A ball is thrown with an initial speed i at an angle i with the horizontal. The horizontal range of the ball is R. and the ball reaches a maximum height R/6. In terms of R and g, find (a) the time interval during which the ball is in motion, (b) the balls speed at the peak of its path, (c) the initial vertical component of its velocity, (d) its initial speed, and (e) the angle i, (f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height. (g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle ? with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 8.60 m/s, and the initial vertical velocity be 12.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground m time to reach maximum height s (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground m time to reach maximum height s
During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle θ0 = 38˚ to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 10.2 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?
A quarterback passes a football from height h = 2.1 m above the field, with initial velocity v0 = 11.5 m/s at an angle θ = 31° above horizontal. Assume the ball encounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.a. create an expression for the football's horizontal velocity , vfx, when caught by a receiver in terms of v0, θ, g, and h.b. The receiver catches the football at the same height as released by the quarterback. Create an expression for the time, tf, the football is in the air in terms of v0, θ, g, and h. c. The receiver catches the ball at the same vertical height above the ground it was released. Calculate the horizontal distance, d in meters, between the receiver and the quarterback.
A projectile is launched with speed v at an angle of ?2 above the horizontal going to a maximum height NH=4.08 H.The projectile is then launched with the same initial speed but an angle of ?1 above the horizontal going to a maximum height H.Please derive the ratio of the total time of flight of the projectile as the time for launch at angle ?2 to that time at angle ?1.
Situation 1 : A ball was launched upward and forms a projectile with an initial slope of 3 vertical to 4 horizontal and hits the ground at a point 2m lower than the origin. The maximum height of the trajectory is 9m away from the origin. A. Which of the following most nearly gives the value of the initial velocity? a. 13.56 m/s b. 17.21 m/s c. 15.36 m/s d. 12.79 m/s B. Which of the following most nearly gives the value of the maximum height from the origin that the projectile reached? a. 5.37 m b. 6.68 m c. 3.37 m d. 8.68 m
In the figure here, a ball is thrown up onto a roof, landing 3.70 s later at height h = 24.0 m above the release level. The ball's path just before landing is angled at θ = 50.0˚ with the roof. (a) Find the horizontal distance d it travels. (Hint: One way is to reverse the motion, as if it is on a video.) What are the (b) magnitude and (c) angle (relative to the horizontal) of the ball's initial velocity?
PROBLEM:In a basketball tournament, a tall player shoots the ball so that it leaves his hands at an initial speed of 35.0m/s and with an estimated an angle of 50.1o. Neglect the height of the basketball player, a. Determine the location of the ball and its velocity (magnitude and direction) at t = 2.00s.b. Determine the time when the ball reaches the highest point of its path and its vertical distance at that time.c. Determine the range from initial point to its final position.
In a basketball game, a player attempts to apply what he learned in physics under projectile motion. He realizes that from his position, he needs to exert 25 m/s for the ball to hit the ring before the end of the last quarter of the game. At what angle must he position the ball, for him get 3 points for his team to win the match.