calculus 2
posted by Rachel .
A tomato is thrown upward from a bridge 23 m above the ground at 40 m/sec. Take the acceleration of gravity be equal to 9.8 m/s^2
(a) Give formulas for the acceleration, velocity, and height of the tomato at time t.
(b) How high does the tomato go, and when does it reach its highest point?
(c) How long is it in the air?

my equation would be
h = 4.9t^2 + 40t + 23
v =  9.8t + 40
a = 9.8
b) max h, when v = 0
9.8t+40=0
t = 40/9 seconds
h= 4.9(40/9)^2 + 40(40/9) + 23 = 103.99 m
c) let's find when it hits the ground, that is, when h = 0
4.9t^2 + 40t + 23 = 0
4.9t^2  40t  23 = 0
t = (40 ± √2050.8)/9.8
= 8.7 or some negative, which would be silly
It is in the air for appr 8.7 seconds
BTW, that is some feat to throw a tomato about 80 m up into the air !
Respond to this Question
Similar Questions

Physics
A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, a ball dropped from rest from a building 15 m high. After how long will the balls be at the same height? 
Physics
An object is thrown vertically upward. a) What are its velocity and acceleration when it reaches its highest altitude? 
Physics
An object is thrown vertically upward. a) What are its velocity and acceleration when it reaches its highest altitude? 
calculus 3
A ball is thrown northward into the air from the origin in three dimensional space ( the xy plane is the ground, the positive yaxis points north, positive xaxis is east and the positive z – axis is height above the ground ). The … 
physics
A red ball is thrown down with an initial speed of 1.0 m/s from a height of 27.0 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.5 m/s, from a height … 
Physics
A tomato is thrown upward from a bridge 23 m above the ground at 40 m/sec. Take the acceleration of gravity be equal to 9.8 m/s^2 (a) Give formulas for the acceleration, velocity, and height of the tomato at time t. (b) How high does … 
calculus 2
A tomato is thrown upward from a bridge 23 m above the ground at 40 m/sec. find acceleration, velocity, and height of tomato at time t. How high does the tomato go, and when does it reach its highest point? 
Physics
1.) A ball is thrown straight upwards at a speed of 32.5 m/s and from a height of 1 m above the ground. How long before it hits the ground? 
Calculus
On planet Calculi, acceleration due to gravity is 20 ft/sec^2. A ball is thrown upward with an initial velocity of 40ft/sec from an initial height of 50. a) Write the equation for the height of the ball, s(t), at time t. b) Find the … 
Calculus AB
Um I don't really understand these word problems so could someone help me please?