Question

A ball is thrown directly upward from a height of 3 ft with an initial velocity...

A ball is thrown directly upward from a height of 3 ft with an initial velocity of 20 ft/sec. the function s(t) = -16t^2+20t+3 gives the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reaches its maximum height and find the maximum height.
Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The given function  

This is a qudratic function. The graph of the function represents a parabola comparing the function with we see that . and the parabola opens downwards since is negative.

Any parabola which opens downwards has its maximum height at the vertex. If we find the vertex of the parabola the co-ordinate which represent gives the time at the maximum heght and the co-ordinate that is represents the maximum height if the ball thrown upawards.

The co-ordinate of the parabola can be found by

Therefore the time in which the ball recahes the maximum height is Seconds.

Now to calculte the maximum height reached by the ball in Seconds we substitute the value of in the gievn function

Thererefore the maximum height reahed by the ball is

The figure shows the parabola

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A ball is thrown vertically upward from a height of 5 ft with an initial velocity...
A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 83 ft/s. The distance s (in feet) of the ball from the ground after t seconds is s = s(t) = 5 + 83t − 16t^2. (a) What is the velocity v, in feet per second, of the ball after 2 seconds? (b) When, in seconds, will the ball reach its maximum height? (Round your answer to one decimal place.) (c) What is...
If a ball is thrown upward with a velocity of 64 ft/sec, then its height after...
If a ball is thrown upward with a velocity of 64 ft/sec, then its height after t seconds is s=64t-16t^2. When does the ball reach its maximum height?
A ball is thrown directly upward from the edge of a rock and travels such that...
A ball is thrown directly upward from the edge of a rock and travels such that after t seconds its height in feet above the ground is given by the equation s(t) =-2.5t^2+10t+2 1.Find the equation that represents the instant velocity v(t) of the ball on t time. 2.When does the ball has zero velocity? 3. What is the maximum height that the ball reaches? 4. When does the ball touches the surface of the Earth? 5. build the graph...
if a baseball is thrown vertically upward with an initial velocity of 128 ft/sec, the ball’s...
if a baseball is thrown vertically upward with an initial velocity of 128 ft/sec, the ball’s height after t seconds is s(t)=128t-16t^2 A. Find the baseball's velocity and acceleration at time t. B. How long does it take the baseball to reach its highest point? C. How high does the baseball go? D. What is the velocity of the ball when it is 112 ft above the ground on the wh down? E. What is the speed of the ball...
if a ball is thrown vertically upward with a velocity of 95 ft/s, then its height...
if a ball is thrown vertically upward with a velocity of 95 ft/s, then its height after t seconds is s=95t-19t^2   A. what is maximum height reached by the ball? B. what is the velocity of the ball if its 114 ft above the ground on the way up? C. what is the velocity of the ball when it is 114 above the ground on its way down?
A ball is thrown upward from a height of 3m at an initial speed of 45...
A ball is thrown upward from a height of 3m at an initial speed of 45 m / sec. Acceleration resulting from gravity is -9.8 m/sec^2. Neglecting air resistance, solve for the velocity, v(t), and the height, h(t), of the ball t seconds after it is thrown and before it hits the ground.
11. a ball is thrown up from the ground with an initial velocity of 120 feet...
11. a ball is thrown up from the ground with an initial velocity of 120 feet per second. The height s in feet can be expressed as a function of time t in seconds by s(t)=85t-16t^2 a. when does the ball reach its maximum height b. what is the maximum height c. when does the ball hit the ground 12. a farmer has 2800 feet of fencing material with which to enclose a rectangle field that borders a straight stream....
A flare is launched upward with an initial velocity of 80 ft/sec from a height of...
A flare is launched upward with an initial velocity of 80 ft/sec from a height of 224 ft. Its height in feet after t seconds is given by h t t t ( ) = − + + 16 80 224. 2 How long will it take the flare to reach the ground?
A ball is thrown straight up from the too of a building 128 ft. tall with...
A ball is thrown straight up from the too of a building 128 ft. tall with qn initial velocity of 48 ft per second. The distance s(t) (in feet) of the ball from the fround is given by s(t)=128+48t-16t^2. Find the maximum height attained by the ball.
If an object is propelled upward from a height of s feet at an initial velocity...
If an object is propelled upward from a height of s feet at an initial velocity of v feet per second, then its height h after t seconds is given by the equation h=−16t^2+vt+s, where h is in feet. If the object is propelled from a height of 1212 feet with an initial velocity of 9696 feet per second, its height h is given by the equation h =minus−16t^2+96 +12. After how many seconds is the height 120 feet?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT