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What distance?

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?

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
1
Check Marked as Best Answer
d = (1/2)gt^2 = 4.9*3.2^2 = 50.2 m <==Answer
Jon L. | SAT and Chemistry Tutor - Test Taking Skills EmphasizedSAT and Chemistry Tutor - Test Taking Sk...
5.0 5.0 (199 lesson ratings) (199)
2
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
 
 
Brice B. | Tutor for High School Level Mathematics and EnglishTutor for High School Level Mathematics ...
2.0 2.0 (1 lesson ratings) (1)
1
The equation for this is d=(gt2)/2. 
d= Distance
g= Gravitation Acceleration (which for earth is 9.807m/s/s)
t = Time
 
Then
d=(9.807*3.22)/2

Then it simplifies to:
d=50.210048
Brad M. | Professional Tutor: Ultra Streamlined Math - Physics - AccountingProfessional Tutor: Ultra Streamlined M...
4.9 4.9 (218 lesson ratings) (218)
0
Hey Sun -- 3.2s freefall gives Vf of 32m/s ... ave speed of 16m/s runs 3.2s
==> falls about 50m :)