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Projectiles Test Review

NOTE: The review below offers virtually all concepts learned in class that will be found on the test. One or more items might have been unintentionally excluded as I tried to coordinate this review with items found on the test.

1. Review problems involving a projectile following a parabolic path, from one point to another on the same horizontal plane. You may have to solve for one or more of the following variables: V_O, R, H, t_TOT, angle theta. Practice transposing terms, using the "R", "H", and "t_TOT" formulas.

2. Study the parabolic path taken by a projectile that moves over a level, horizontal plane.

(a) Know how the initial velocity, V_O, changes in orientation and magnitude, and with reference to its two components, as the projectile moves from its initial launch position, moves to the apex, then to the downfield destination.

(b) Study the changes in magnitude of the projectile’s vertical and horizontal components from the initial launch position to the point of impact downrange.

3. Review short answer problems, such as #5 and #6. Solve additional problems given below:

(a) "If the range of a projectile must be increased to three times it original value, what adjustments must be made to its initial velocity if the angle of projection remains constant?"

(b) "A cannonball is shot skyward at a certain angle with a specified velocity. Reducing the maximum height to one-half its original value, will require a reduction in the original velocity to _____ its original value."

4. Describe what happens to the magnitude and orientation of the following variables when an object is thrown horizontally and allowed to fall freely:

(a) its horizontal velocity component.

(b) its vertical velocity component.

5. Compare the variables (a) to (e) below when two projectiles are thrown from the top of a building,

(A) when projectile "A" is thrown horizontally, while projectile "B" is dropped vertically.

(B) when projectile "A" is thrown horizontally, while projectile "B" is thrown vertically downward.

(a) times to reach the ground.

(b) striking velocities

(d) the vertical distances covered at the same instant of time.

(e) accelerations due to gravity.

6. Compare the velocity of a body dropped from one elevation with the velocity of a second body dropped from a different elevation, after the same time intterval.

7. Compare and contrast the velocity vectors V_S, V_FV, and V_FH when a body thrown horizontally from a cliff strikes the ground below.

8. Complete short answer #12

9. Complete a projectile problem such as #44.

10. Know how to employ the quadratic equation to solve problems such as # 9 and #21, to determine the two time intervals when a projectile is a given distance above the ground.

11. Compare the time of flight, V_FV, V_H, V_STRIKING, and acceleration, of a projectile thrown upward at an angle of inclination from a given height, with another projectile,

(a) propelled at the same angle but with a different initial velocity

(b) propelled vertically with the same initial speed.

(d) dropped from the same height.

(e) propelled horizontally with speed V_O.

(f) propelled horizontally with speed V_OCos?.

12. Given the height of a cliff, t_TOT, V_O, and theta, find V_FV, V_FH, and V_S.

13. Solve problem #64 from the Additional Projectile Problems sheet. Assume the firing position of the rocket to be on a plane below the top edge of the cliff. In part (A) of the problem, change the end of the sentence from “strike the cliff.” to “strike or pass over the edge of the cliff.” In addition to solving the variables stated, determine the rocket’s horizontal distance from the edge of the cliff to the rocket’s point of impact.