A ball dropped from the top of a building has a height of s = 256 - 161 meters after t seconds. How long does it take the ball to reach the ground? What is the ball's velocity at the moment of impact? I O A. 16 sec, -512 m/sec O B. 4 sec, 128 m/sec O c. 4 sec, - 128 m/sec O D. 8 sec, - 64 m/sec

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question:**

A ball dropped from the top of a building has a height of \( s = 256 - 16t^2 \) meters after \( t \) seconds. How long does it take the ball to reach the ground? What is the ball's velocity at the moment of impact?

---

**Options:**

- **A.** 16 sec, \(-512 \, \text{m/sec}\)

- **B.** 4 sec, 128 m/sec

- **C.** 4 sec, \(-128 \, \text{m/sec}\)

- **D.** 8 sec, \(-64 \, \text{m/sec}\)
Transcribed Image Text:**Question:** A ball dropped from the top of a building has a height of \( s = 256 - 16t^2 \) meters after \( t \) seconds. How long does it take the ball to reach the ground? What is the ball's velocity at the moment of impact? --- **Options:** - **A.** 16 sec, \(-512 \, \text{m/sec}\) - **B.** 4 sec, 128 m/sec - **C.** 4 sec, \(-128 \, \text{m/sec}\) - **D.** 8 sec, \(-64 \, \text{m/sec}\)
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