Question

5. The height s at time t of a silver dollar dropped from the top of...

5. The height s at time t of a silver dollar dropped from the top of a building is given by , where s is measured in feet and t is measured in seconds.

  1. Find the average velocity on the interval [1,2].
  2. Find the instantaneous velocity when t = 1 and t = 2.
  3. How long will it take for the dollar to hit the ground?
  4. Find the velocity of the dollar when it hits the ground.
  5. Find the acceleration of the dollar.

the function is s(t)= -16t^2 +1350

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 coin is dropped from the top of a building. Its height s (in feet) at...
A coin is dropped from the top of a building. Its height s (in feet) at time t (in seconds) is given by ?(?)= −16?^2 + 195 Find the average velocity of the coin over the interval [1,2] Compute the instantaneous velocity of the coin when ?=1 Compute the instantaneous velocity of the coin when ?=2 At what time will the coin hit the ground? What is the velocity of the coin when it hits the ground?
A rock is dropped from a height of 64 ft. It is determined that its height...
A rock is dropped from a height of 64 ft. It is determined that its height (in feet) above ground t seconds later (for 0≤t≤2) is given by s(t)=−16t2+64. Find the average velocity of the rock over each of the given time intervals. Use this information to guess the instantaneous velocity of the rock at time t=0.5. 1. [0.49, 0.5] 2. [0.5, 0.51] Can you please show every step to solving this problem?
Jared throws a penny off the top of a building that is 240 feet tall. The...
Jared throws a penny off the top of a building that is 240 feet tall. The distance, in feet, that the penny falls in t second is given by the function s(t)=16t^2. What is the penny's exact velocity when it strikes the ground? What is its acceleration at that point?
4. Free Fall from the Tower of Pisa: Had Galileo dropped a ball from the Tower...
4. Free Fall from the Tower of Pisa: Had Galileo dropped a ball from the Tower of Pisa, 185 feet above the ground, the ball’s height above the ground t sec into the fall would have been s=185-16t^2. a.) What would have been the ball’s velocity and acceleration at time t? Velocity: _______________________ Acceleration: ___________________ b.) About how long would it have taken the ball to hit the ground SHOW WORK! Time: ________________ (Include three decimal places and units
A cannonball is shot into the air from the top of a tower. Its height above...
A cannonball is shot into the air from the top of a tower. Its height above the ground, in metres, at any time t, in seconds, is given by the function h(t)=-4.9t2+50t+30. Find the average velocity of the cannonball from t = 1 to t = 2 seconds Use limits to find the instantaneous velocity of the cannonball at t = 6 seconds
An object is dropped from 43 feet below the tip of the pinnacle atop a 367-ft...
An object is dropped from 43 feet below the tip of the pinnacle atop a 367-ft tall building. The height h of the object after t seconds is given by the equation h=-16t^2+324. Find how many seconds pass before the object reaches the ground.
2) A ball is dropped from rest at the top of a high cliff. It takes...
2) A ball is dropped from rest at the top of a high cliff. It takes 10.00 seconds for the ball to reach the ground below. Find: a) the height of the cliff, b) the velocity of the ball hitting the ground below, c) the time it takes for the ball to fall half of the cliff's height, and d) the velocity at this halfway point. (Remember acceleration due to gravity is -9.800 m/s^2).
A ball is thrown horizontally with an initial speed of 50m/s from the top of a...
A ball is thrown horizontally with an initial speed of 50m/s from the top of a building 60m tall a) How far away from the building will the ball hit the ground? b) What is the horizontal component of its velocity when it hits the ground? c) Find the magnitude and direction of the velocity when it hits the ground?
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 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