Answer:
-5.86secs
Explanation:
Using the equation of motion;
vy (final) = vy(initial) + gt
Substitute
0.0 = 57.45 + 9.81t
-57.45 = 9.81t
t = -57.45/9.81
t = -5.86secs
Hence the value of t is -5.86secs
The value of t will be 5.86 seconds
when a body is thrown upward with an initial velocity [tex]v_{y}(initial)[/tex] the equation on motion is written as:
[tex]v_{y}(final)= v_{y}(initial)-gt[/tex]
where g is the acceleration due to gravity which is 9.8 m/[tex]s^{2}[/tex] acting opposite to the direction of motion and t is the time taken
[tex]v_{y}(final)- v_{y}(initial)=-gt[/tex]
⇒ [tex]0-57.45=-9.8t[/tex]
⇒ t = 57.45/9.8
t = 5.86 s
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