SOLUTION: Initial speed (velocity) of Vo will travel a distance of (s) meters, where s=4.9t^2 + Vot and t is measured in seconds. Solve for t.
Use 4.9t^2 + Vot=s
Downward speed:
An obje
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Question 190845: Initial speed (velocity) of Vo will travel a distance of (s) meters, where s=4.9t^2 + Vot and t is measured in seconds. Solve for t.
Use 4.9t^2 + Vot=s
Downward speed:
An object thrown downward from 200-m cliff travels 91.2m in 4 sec. What was the initial velocity of the object.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Initial speed (velocity) of Vo will travel a distance of (s) meters,
where s=4.9t^2 + Vot and t is measured in seconds. Solve for t.
Use 4.9t^2 + Vot = s
:
4.9t^2 + Vot - s = 0
:
Treat it as a quadratic equation, use the quadratic formula:
In this equation: x = t ; a = 4.9, b = Vo, c = -s
:
:
:
:
;
Downward speed:
An object thrown downward from 200-m cliff travels 91.2m in 4 sec. What was the initial velocity of the object.
:
4.9t^2 + Vot = s
Substitute 4 for t and 91.2 for s
4.9(4^2) + 4Vo = 91.2
4.9(16) + 4Vo = 91.2
78.4 + 4Vo = 91.2
4Vo = 91.2 - 78.4
4Vo = 12.8
Vo =
Vo = 3.2 m/sec
:
:
Check solution using Vo = 3.2 & s = 91.2 m
;
:
:
:
Positive solution
t =
t = 4 sec as given above
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