Answer: (displacement/delta x) = -50. m, and distance dropped = 50. m (50. m below the starting location)
Explanation:
We know that the initial velocity of the tuna can is 0 m/s, as it is at rest. Also, we have the acceleration caused by gravity (-9.8 m/s^2). The time for the trip is 3.2 s. We need to find the displacement, or delta x.
To do this, we need to use a freefall equation. The one we can use with initial velocity, time, and acceleration would be the following:
d = (initial velocity)(time) + (1/2)(acceleration caused by gravity)(time)^2
d = (vi)(t) + 1/2(g)(t)^2
d = (0 m/s)(3.2 s) + 1/2(-9.8 m/s^2)(3.2 s)^2
d = 1/2(-9.8 m/s^2)(3.2 s)^2
d = -4.9(3.2)^2
d = -4.9(10.24)
d = -50.176 = <u><em>-50. m</em></u>
