You fire a ball with an initial speed vo at an angle ø above the surface of an incline, which is itself inclined at an angle 0 above the horizontal (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ø gives the maximum range, measured along the incline? Ignore air resis- tance.

You fire a ball with an initial speed vo at an angle ø above the surface of an incline, which is itself inclined at an angle 0 above the horizontal (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ø gives the maximum range, measured along the incline? Ignore air resis- tance.

Name: You fire a ball with an initial speed v at an angle o above the surfa
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: You fire a ball with an initial speed v at an angle o above the surface of anincline, which is itself inclined at an angle 0 above the horizontal(a) Find the distance, measured along the incline, from the launch point to the point whenthe ball strik

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.19P

See similar textbooks

Similar questions

A football kicker can give the ball an initial speed of 25.0 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 50.0 m in front of goalposts whose horizontal bar is 3.44 m above the ground? When doing this, you may want to research some trig identities to get a formula involving only tangent functions. Also, since there are two values of angle that will work, maybe the quadratic formula is involved.
A projectile is fired at v_{0} = 368.0 m / s at an angle of theta =70.8 degrees with respect to the horizontal. Assuming no air resistance, what is the range R of the projectile?
a firefighter, a distance d from a burning building, directs a stream of water from a fire hose at an initial angle teta above the horizontal. if the initial speed of the streamis v, at what height h does the water strike the building?
Imagine a firework has a fuse designed so that it explodes at the highest point of its trajectory, and it's launched with an initial speed of 60 m/s at an angle of 70 degrees to the horizontal. What height h it explodes at? (Answer in cm and round-off to the whole number.)
An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b; phi = omega*t; theta = pi/2 * [1 + 1/4 * cos(400t)] Find the speed of the ant as a function of the time t. What sort of path is represented? by the above equations ?
Show that the trajectory of a projectile thrown upward at an angle θ with the horizontal and with an initial speed v0 is parabolic.
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.
Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what Initial velocity would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7m/s2 .
A projectile is fired with an initial velocity of 244 mps at a target B located 610 m above the gun A and at a horizontal distance of 3658 m. Neglecting air resistance, determine the value of firing angle θ.
The cannon on a battleship ship can fire a shell a maximum distance of 39.0km What's the velocity of the shell? What maximum height does it reach? How many meters lower will its surface be 39 from the ship along a horizontal line parallel to the surface of the ship? Does your answer imply that error introduced by the assumption of a flat earth in projectile motion is significant here?
A cannon fires a bullet with an initial velocity equal to 400m/s (in module), at 60° with the horizontal. Disregarding friction and considering g = 10m/s², determine: a)Graph of V(t) over the entire trajectory
If the projectile is intended to hit a targe + 17.3 m downrange (delta x), how tall should the launcher be? If vi = 14 m/s, degree is 60 (above the horizontal point up) What is vi x = ?, what is vi y = ?