A can of tuna is dropped from a building. If the can takes 3.2 seconds to strike the ground, what distance did it fall?
Tutors, please sign in to answer this question.
d = (1/2)gt^2 = 4.9*3.2^2 = 50.2 m <==Answer
When solving any problem of this type it is helpful to use the following problem solving steps.
1) Write down what is known. *important*
Vi (initial velocity) = 0
t (time) = 3.2s
d = variable we are solving for
a (acceleration) = 9.8 m/s2
2) Which equation applies?
The correct formula will contain the known variables and only one unknown, which will be the variable we are solving for (d).
The correct formula is d = vi*t+1/2 at2 because vi=0, which makes the v0*t term drop out, leaving us with d=1/2at2
3) Now for the easy part, plug in and solve.
d = 1/2*9.8*3.22
The answer is 50.2m
The equation for this is d=(gt2)/2.
g= Gravitation Acceleration (which for earth is 9.807m/s/s)
t = Time
Then it simplifies to:
Hey Sun -- 3.2s freefall gives Vf of 32m/s ... ave speed of 16m/s runs 3.2s
==> falls about 50m :)