Question

An object is thrown vertically upward from a platform 80 feet above the ground with a...

An object is thrown vertically upward from a platform 80 feet above the ground with a velocity of 64 feet per second. Given the fact that the acceleration due to gravity is approximately -32 ft/sec/sec,
a) use antidifferentiation to determine the ‘velocity’, v(t), and ‘position above the ground’, s(t), functions; use these functions to determine: b) when the object reaches its highest point; c) what the highest point above the ground is; d) when it hits the ground; e) the object’s velocity when it hits the ground.

Show your work below.
(a) Show your work here for how you find s(t) and v(t). (b) Work for when highest point is reached.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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 stone thrown vertically on Mars. Suppose a stone is thrown vertically upward from the edge...
A stone thrown vertically on Mars. Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration due to gravity is only about 12 ft/s^2) with an initial velocity of 64 ft/s from a height of 192 ft above the ground. The height S of the stone above the ground after t seconds is given by s=-6t^2+64t+192 a. Determine the velocity v of the stone after t seconds b. When does the stone...
A ball is thrown vertically upward from the 40-ft level in an elevator shaft with an...
A ball is thrown vertically upward from the 40-ft level in an elevator shaft with an initial velocity (straight up) of 50 ft/sec. At the same instant, far below, an open-platform elevator passes the 10-ft level in the elevator shaft, moving upward with a constant velocity of 5 ft/sec. Determine (a) when and where the ball will hit the elevator, (b) the relative velocity of the ball with respect to the elevator when the ball hits the elevator.
A ball is thrown vertically upward from a window that is 3.6 m above the ground....
A ball is thrown vertically upward from a window that is 3.6 m above the ground. The ball's initial speed is 2.8 m/s and the acceleration due to gravity is 9.8 m/s^2. a) What is the ball's speed when it hits the ground? b) How long after the first ball is thrown should a second ball be simply dropped from the same window so that both balls hit the ground at the same time?
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?
ball weighing 1 pound is thrown vertically upward from a point 6 ft above the surface...
ball weighing 1 pound is thrown vertically upward from a point 6 ft above the surface of the earth with an initial velocity of 18 ft/sec. As it rises it is acted upon by air resistance that is numerically equal to (1/16)*v (in pounds) where v is the velocity (in feet per second). How high will the ball rise? NOTE: Before you attempt to answer, please take into consideration that this problem is for a Differential Equations class (NOT A...
A ball is thrown vertically upwards with an initial velocity of 10 m/s, from a platform...
A ball is thrown vertically upwards with an initial velocity of 10 m/s, from a platform that is at a height of 75 m above the ground. The ball reaches a maximum height and, on the way down, misses the platform and falls all the way to the ground. Take the magnitude of the acceleration due to gravity to be 10 m/s2. (a) What is the velocity of the ball just before it reaches the ground? (b) How many seconds...
A 200​-lb object is released from rest 500 ft above the ground and allowed to fall...
A 200​-lb object is released from rest 500 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 5​v, where v is the velocity of the object in​ ft/sec, determine the equation of motion of the object. When will the object hit the​ ground? Assume that the acceleration due to gravity is 32 ft/sec2 and let​ x(t) represent the distance the object has fallen in...
An object is launched upward from a platform so that its height (in feet) above the...
An object is launched upward from a platform so that its height (in feet) above the ground t seconds after it is launched is given by the function h(t)=-16t^2 +160t+176. a. When does the object reach its maximum height? What is the maximum height? b. When does the object hit the ground? c. What is the domain and range of this function (given the context)? d. Sketch an accurate graph of this function in an appropriate window. Mark on your...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT