IB A2.4 - Free Fall Kinematics

Get the Formative Assessment: FA02.4.docx

The Formative Assessment Solved:

1-3: An air rocket is launched vertically upward at a velocity of 28.0 m/s.

1. What time will it take to reach the top? What is the greatest height it reaches? What total time will it be in the air?

(2.85 s, 40.0 m, 5.71 s)


2. What will be its position and velocity 4.20 s after it is launched?

(31.1 m, -13.2 m/s)

3. What time will elapse before it is at an elevation of 27.0 m on the way up? on the way down?

(1.23 s, 4.48 s)

Quadratic

Not Quadratic


4-5: A baseball is popped up to a height of 24.1 m above the bat.

4. What velocity did it leave the bat going upwards? What time will it spend in the air before it reaches the level of the bat again?

(21.7 m/s, 4.43 s)

5. What two velocities does it have at an elevation of 18.0 m above the bat?

(+10.9 m/s going up, and -10.9 m/s going down)


More Practice: (Get the Practice Sheet: Worksheet -FreeFallPracticeProblems2.4.docx)

Round to the correct significant figures, Ignore air friction and use the convention that down is negative. g = 9.81 m/s/s Don't get the impression that these are just re-warmed assessment questions.

1. A Turkey is shot straight up and remains in the air for a total (up and down) time of 6.32 s before coming down again to the same elevation. What is the greatest height it reaches? What was its initial velocity? What is its displacement exactly 5.00 seconds after it is launched? Free Fall Practice #1

2. A frozen pot pie is launched upwards at 19.4 m/s, and lands at the same elevation from which it was launched. To what height does it rise before going back down again? What time does it take to reach the very highest point? What time elapses between release, and the pie being 5.50 m above the release point on the way down? Free Fall Practice #2

3. A lemon is launched upwards at 28.0 m/s. It goes up, and on the way down it strikes the top of a 35.2 m tall light tower. With what velocity does it strike the light tower? What is its displacement 4.15 seconds after it is launched? Free Fall Practice #3

4. A flaming digital air rocket is launched vertically upwards, and is in the air for a total (up and down) of 5.22 s, before striking the ground again. At what velocity was it launched? What height did it reach? What was its velocity at an elevation 17.0 m as it was going down? Free Fall Practice #4

5. A chicken nugget is thrown upwards and reaches a height of 6.45 m above its release point, and is caught at the same elevation from which it was thrown. What was its initial velocity? What total time is the nugget in the air? What is its position 2.20 seconds after it is released? Free Fall Practice #5

6. A gourd is thrown downward from the top of a 12.0 m tall building at a velocity of -4.12 m/s. With what velocity will it strike the ground? What time will it take to reach the ground? Free Fall Practice #6

7. A watermelon is launched straight upwards, and strikes the ground at the same elevation from which it is launched. It goes to a maximum height of 89.7 m before coming down. What was its initial velocity leaving the ground? What is its displacement 5.30 s after it leaves the ground? What time will it take from when it is launched to when it reaches an elevation of 45.0 m on the way down? Free Fall Practice #7

8. A projectile is thrown vertically upward from the top of a 17.2 m tall building and strikes the ground 3.42 s after it is released. What was its initial velocity? With what velocity does it strike the ground? Free Fall Practice #8

9. A hot pocket is thrown vertically upwards at 17.0 m/s, and lands on a roof on the way down that is 8.50 m tall. What height does it reach? What time does it take to hit the roof on the way down?Free Fall Practice #9

10. A giant sloth throws a ball upward from the ground, and it comes down on top of a 6.12 m tall building in 2.17 s What is the ball’s initial upward velocity? With what velocity does it strike the roof? Free Fall Practice #10


More Practice:

Solutions to: Free Fall Practice Problems - These are examples of problems that are on the assessments

Solutions to 5 more kinematics problems with video tutorials: How Far III

Get more practice assessments:

[DIR]