Answer to Question #143836 in Mechanics | Relativity for Mikkos Joshua Garcia

Question

b. An airplane is in level flight at a velocity of 300 miles per hour and an altitude of 5000 ft when it drops a bomb. (a) How long does the bomb take to reach the ground? (b) What will the bomb's velocity be on impact?

I need an illustration and complete solution. Thank you

Answer 1

(a) How long does the bomb take to reach the ground? 

d = distance fallen by the bomb = 5,000 ft

g = gravitational acceleration = 32.17$( \tfrac{ft}{sec^2} )$

t = elapsed time of bomb's fall = to be determined

$t=\sqrt{\tfrac{2d}{g} }$

$t=\sqrt{\tfrac{2(5,000)}{32.17} }$

t = 17.63089949 sec

(b) What will the bomb's velocity be on impact?

v = velocity of bomb on impact = to be determined

$v=\sqrt{2gd }$

$v=\sqrt{2*32.17*5,000 }$

v = 567.1860365 $(\tfrac{ft}{sec})$