Answer:
6.36 s
Explanation:
Here the free fall means that the object is subjected only to gravity force. there are no other acting forces
(Assume g = 9.8 ms⁻²)
This gravitational acceleration (g) is same through out the motion there for we can use motion equation symbols has usual meanings.
S = ut + 1/2 at²
where ,
↓S = ut + 1/2 at²
200 = 0.3 t + 1/2 × 9.8 × t²
4.9 t² + 0.3 t -200 = 0
Here you can have a quadratic equation and get a solution we can applie the formula to find the quadratic equation
Assume a quadratic equation be
ax² + bx +c =0
[tex]solution (x) =\frac{-b+\sqrt{b^{2}-4ac } }{2a} or \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
t = -0.3 ±√0.3²-4×4.9×(-200) / (2×4.9)
t = 6.36 s or -6.42 s
but a time cannot be zero
therefore the solution should be 6.36 s
