Calculus
posted by Anonymous .
A ball is thrown upward with an initial velocity of 96 feet per second from the top of a 100 foot building. (a) When well the ball attain its maximum height? (b) When will the ball hit the ground? Give a decimal answers correct to 2 decimal places.

Calculus 
Reiny
the height relative to the ground will be
s(t) = 16t^2 + 90t + 100
a)
s'(t) = 32t + 90
= 0 for max of s(t)
32t = 90
t = 90/32 = 2.8125 seconds
b)
ball hits the ground when s(t) = 0
16t^2 + 90t + 100=0
8t^2  45t  50 = 0
solve for t using the quadratic formula , refect the negative result 
Calculus 
Anonymous
Shouldn't 90t be 96t since 96 feet/second is the velocity?
Respond to this Question
Similar Questions

Algebra
THe function h(t)=16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time … 
Algebra
THe function h(t)=16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the time … 
Calculus
A ball is thrown upward with an initial velocity of 96 feet per second from the top of a 100 foot building. (a) When will the ball attain its maximum height? 
calculus
A ball is thrown upward with an initial velocity of 96 feet per second from the top of a 100 foot building. (a) When well the ball attain its maximum height? 
calculus
a ball is thrown upward at 96 feet per second from the top of a 100 foot building. 1.when will the ball obtain maximum height 2. when will the ball hit the ground? 
precalc
Physics: a ball is thrown vertically upward with an initial velocity of 80 feet per second. the distance (in feet) of the ball from the ground after t seconds if s=80t16tt^2 a) draw the illustration b) for what time interval is the … 
Math
A ball is thrown downward from the top of a 100foot building with an initial velocity of 14 feet per second. The height of the ball h after t seconds is given by the equation h=16t^214t+100. How long after the ball is thrown will … 
Math
A ball is thrown straight up from the top of a building 148 ft. tall with an initial velocity of 72 ft per second. The distance s(t) (in feet) of the ball from the ground is given by s(t) = 148 + 72t − 16t2. Find the maximum … 
algebra 2
A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96 feet per second. After t seconds, the height of the ball above the ground is s(t) = 16t2+ 96t + 200. a. After how many seconds … 
Math (calculus 3)
A football is thrown down the field by a quarterback from a height of 1 foot with an initial velocity of 40 feet per second at angle of pi/6 radians. If a receiver catches the ball downfield at a height of 1 foot above ground; a) How …