we have
[tex]h=vt-5t^2[/tex]
Solve for v
Adds [tex]5t^2[/tex] both sides
[tex]h+5t^2=vt-5t^2+5t^2[/tex]
[tex]vt=h+5t^2[/tex]
Divide by [tex]t[/tex] both sides
[tex]vt/t=(h+5t^2)/t[/tex]
[tex]v=(h+5t^2)/t[/tex]
Simplify
[tex]v=\frac{h}{t} +5t[/tex]
therefore
the answer is
[tex]v=\frac{h}{t} +5t[/tex]
Isolating v, it is found that the solution is given by:
[tex]v = \frac{h + 5t^2}{t}[/tex]
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The formula is:
[tex]h = vt - 5t^2[/tex]
Leaving everything with v on one side, everything without on the other.
[tex]vt = h + 5t^2[/tex]
t is multiplying, it changes sides dividing.
Thus:
[tex]v = \frac{h + 5t^2}{t}[/tex]
Which is the solution.
A similar problem is given at https://brainly.com/question/1542548
