Derivative as Rate of change: If a stone is dropped from a building 256 ft high...

[weirdsound]

So I got this homework.

[FONT=&quot]An object falls from rest and s=-16t², where s ft is the distance of the object from the starting point at t sec. and the positive direction is upward. If a stone is dropped from a building 256 ft high, find [/FONT]

• the instantaneous velocity of the stone 1 sec after it is dropped;
• the instantaneous velocity of the stone 2 sec after it is dropped;
• how long it takes the stone to reach the ground;
• the instantaneous velocity of the stone when it reaches the ground

Thanks in advance.

 

[Harry_the_cat]

Some questions for you:
1. What does ds/dt give you? What does this represent? - this will help you answer a, b and d
2. What is the value of s when the stone reaches the ground? - this will help you answer c.

Come back and show what you have done if you need more help.