The height of the table is 7.9 m.
Explanation:
To solve this problem, we just need to analyze the vertical motion of the toy truck.
In fact, the object is in free fall along the vertical direction - it is acted upon gravity only - so we can use the following suvat equation:
[tex]s=ut+\frac{1}{2}at^2[/tex]
where:
s is the vertical displacement
u is the initial vertical velocity
a is the acceleration
t is the time
Here we have, choosing downward as positive direction:
u = 0
[tex]a=g=9.8 m/s^2[/tex]
t = 1.27 s
Therefore, we can find s, which corresponds to the height of the table:
[tex]s=0+\frac{1}{2}(9.8)(1.27)^2=7.9 m[/tex]
Learn more about free fall motion here:
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