4. A certain freely falling object, released from rest, requires 1.50 s to travel the last 30.0 m before it hit the ground. a. Find the velocity of the object when it is 30.0 m above the ground. b. Find the total distance the object travels during the fall.
tell me about the equations that comes in your mind ?
\[S = u t + \frac{ 1 }{ 2 } a t ^{2}\]
try to complete it now
\[v^{2}-v_{o}^{2}=2gh\]
ok i will try
i can't do it !!!
see equation vo=0,then.............
s= 30m u = ? ( initial velocity of the object ) a = 9.81 m/s^2 ( accn of free fall ) t = 1.5 s s = ut + 1/2 at^2 \[u = \frac{ S - 1/2 a t^2 }{ t }\] \[u = \frac{ 30 - ( 0.5 \times 9.81 \times 1.5^2) }{ 1.5 } \] \[u = 12.6 m/s\]
for part ii) v = u + at v = at because u = 0 since the object is being released and v is the speed calculated above t = v/a
s = ut + 1/2 a t^2 u = 0 , s = 1/2 a t^2 \[s = \frac{ 1 }{ 2 } \times a \times t ^{2}\] \[s = \frac{ 1 }{ 2 } \times 9.81 \times \left( \frac{ 12.6 }{ 9.81 } \right)^{2}\] \[s = 8.0917...\] \[therfore total distance = 8.0917 + 30 = 38.0917.. = 38.1 m \]
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