gino has just replaced all the t's with x's.
He has only done this because it is much mor normal to see equations like this with an x instead of a t.
There are no x'es in your question.
height=−25t2+75t+24$Theaxisofsymmetrywillbeattime$t=−752∗−25=t=32=1.5secs
So the ball will be at the maximum height after 1.5 seconds
You are looking for the x-value of the vertex.
An easy way to find this point is to graph it.
If you do not want to graph it, then memorize the formula for finding the x-value of the vertex: x = -b/(2a).
Because your expression is written correctly, a = -25, b = 75, and c = 24.
Therefore, the x-value of the vertex is -(75) / (2·-25) = -75 / -50 = 1.5 <--- the time.
To find the height, replace x wby 1.5 in the original expression.
gino has just replaced all the t's with x's.
He has only done this because it is much mor normal to see equations like this with an x instead of a t.
There are no x'es in your question.
height=−25t2+75t+24$Theaxisofsymmetrywillbeattime$t=−752∗−25=t=32=1.5secs
So the ball will be at the maximum height after 1.5 seconds