A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
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are in calculus class?
to get to the max height, differentiate h, that will be you velocity, v=dh/dt
now set this to zero, dh/dt=0, then solve for t, then sub this t to h, that is the max h
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t =1.75 sec
sub this to h to get
hmm max h= 49 ft? yes or no?
so you are not in calculus class?
h = -16t^2 + 56t. we noticed that this is in the family of parabola y=ax^2 +b or y=-16x^2 +56x
plot this on the graph the parabola is opening downward and the vertex is V=-b/2a
we get V=-56/2(-16)=1.75 =x=t in sec
now sub this to h = -16t2 + 56t
we get max h=---?