SOLUTION: The height, h(t), in meters, of the trajectory of a ball is given by h(t)=1.8+25-4.9 t^2 , where t is the time in flight, in seconds. determine the maximum height of the ball and t

Algebra.Com
Question 867451: The height, h(t), in meters, of the trajectory of a ball is given by h(t)=1.8+25-4.9 t^2 , where t is the time in flight, in seconds. determine the maximum height of the ball and the time when that height is reached. show all your work.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Your height function is incorrect. I'm guessing you meant , based on the presumption that the initial velocity of the ball is 25 meters per second rather than 1.8 meters per second.

Please verify. Also, are you looking for the algebraic solution where you find the vertex of the parabola or the calculus solution where you set the first derivative equal to zero?

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

Trajectory of a Projectile the height in meters of a ball released from a ramp is given... (answered by ankor@dixie-net.com)
The height in feet of a glof ball hit from an elevated tee box is given by h(t) = -16t^2... (answered by Alan3354)
Hi there I need help figuring out what's to do for the following question. The path... (answered by Alan3354)
35. Find the maximum height of a golf ball hit with a vertical velocity of 30 meters per... (answered by Theo,Alan3354)
Hi, please help me answer this problem: The height in feet of a golf ball hit from an... (answered by scott8148)
The height of a ball that is thrown upward is given by h(t) = {{{ 16t^2 + 68t }}} (answered by josmiceli)
a ball dropped from the top of the tower. A can be modeled by the function... (answered by math_tutor2020,ikleyn)
The height of a ball thrown upward from a cliff is given by the function h(t) = - 16t 2 (answered by ewatrrr)
{{{ h(t) = c - (d-4t)^2 }}} At time t=0, a ball was thrown upward from an initial... (answered by ikleyn)