Solve the Problem $\mathrm { f } ( \mathrm { t } ) = 4 + 130 \mathrm { t } - 4.9 \mathrm { t } ^ { 2 }$

question 34

Multiple Choice

Solve the problem.
-An arrow is shot straight up from level ground. The distance (in meters) of the arrow above the ground (the position function) is $\mathrm { f } ( \mathrm { t } ) = 4 + 130 \mathrm { t } - 4.9 \mathrm { t } ^ { 2 }$ at any time $\mathrm { t }$ (in sec) . Find $\mathrm { f } ^ { \prime } ( 1 )$ and the initial velocity of the arrow.

• A) \(\mathrm { f } ^ { \prime } ( 1 ) = 120.2\); initial velocity \(= 130 \mathrm {~m} / \mathrm { s }\)
• B) \(\mathrm { f } ^ { \prime } ( 1 ) = 124.2\); initial velocity \(= 130 \mathrm {~m} / \mathrm { s }\)
• C) \(f ^ { \prime } ( 1 ) = 120.2\); initial velocity \(= 4 \mathrm {~m} / \mathrm { s }\)
• D) \(f ^ { \prime } ( 1 ) = - 9.8\); initial velocity \(= 130 \mathrm {~m} / \mathrm { s }\)

---

Definitions:

Customer Service Representative

An individual responsible for handling inquiries, support, and complaints from customers, often through direct interaction channels.

B2B

Business-to-Business, a transaction or business model involving the exchange of products, services, or information between companies.

Cleaning Supplies

Various products and tools used for cleaning and maintaining cleanliness in different environments.

Cloud Storage

Internet-based computing service where data is stored on remote servers accessed from the internet, facilitating data sharing and protection.