Mr. Rogers' AP Physics C: Projectile motion Problems

Bomber Problem

A WWII Bomber from an aircraft carrier flying at an altitude of 3000 m and a horizontal velocity of 100 m/s drops a bomb. Find the horizontal distance the bomb travels before hitting the ground.

Solution

Place the origin at the point where the bomb is released. Define horizontal as the x-dimension with negative to the left and vertical as the y-dimension with negative downward.

x-dimension

Start by finding time
in  the y-dimension  >>>

x = 1/2axt2 + voxt

= 0 + voxt

= (-100 m/s) (25 sec.)

x  = -2500 m

 x  = -2500 m

Note: the negative sign  only means that the displacement is to the left.

y- dimension

y = 1/2ayt2 + voyt

but  voy = 0 so:

y = 1/2ayt2 + 0

t2 = 2 y / ay

t   = (2 y / ay) 0.5

= (2 (-3000 m) / (-9.8 m/s2) 0.5

= 25 sec.

<<<   Finish in x-dimension

Conclusion and Significance

Even with a relatively slow moving bomber, a bomb has to be dropped a considerable distance before the aircraft reaches the target.

Mr

SAM Team--Southside High School's STEM and Computer Science extra-curricular club (Mr. Rogers Sponsor)

Mr. Rogers Teacher's Blog

Mr. Rogers T-shirts

Mr. Rogers Information for Teachers

Mr. Rogers Science Fair Information

Check out other web sites created by Mr. R:

Check out Articles by Mr. Rogers:

Insultingly Stupid Movie Physics is one of the most humorous, entertaining, and readable physics books available, yet is filled with all kinds of useful content and clear explanations for high school, 1st semester college physics students, and film buffs.

It explains all 3 of Newton's laws, the 1st and 2nd laws of thermodynamics, momentum, energy, gravity, circular motion and a host of other topics all through the lens of Hollywood movies using Star Trek and numerous other films.

If you want to learn how to think physics and have a lot of fun in the process, this is the book for you!

 First the web site, now the book!

Mr. Rogers Home | Common Sylabus | AP Comp Sci I | AP Comp Sci II | AP Physics Mech | AP Physics E&M | AP Statistics | Honors Physics|IB Design Tech | Southside

[ Intuitor Home | Physics | Movie Physics | Chess | Forchess | Hex | Intuitor Store |