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Physics
Secondary 5 • February 7, 2025
Untitled.pngCan you show me how they got to this answer. It's been too long since I had to change exponents.
Thank you,

Answer (1)

Alloprof Answer
February 7, 2025
Hi !
It would be my pleasure. The first step is to isolate \(t\) in the equation.
yf=12at2+h y_f=\frac{1}{2}at^2+h
yfh=12at2 y_f-h=\frac{1}{2}at^2
2(yfh)=at2 2(y_f-h)=at^2
2(yfh)a=t2 \frac{2(y_f-h)}{a}=t^2
2(yfh)a=t2 \sqrt{\frac{2(y_f-h)}{a}}=\sqrt{t^2}
2(yfh)a=t \sqrt{\frac{2(y_f-h)}{a}}=t
And since the objet is going from the reference \(y=0\) down to 900 mm, \(\Delta y=0m-900mm=0m-0,900m\).
I hope this helps and if you have any other questions, feel free to ask them.
Have a nice day !