The Position of a Moving Particle Is Given by S(t)

question 177

Multiple Choice

The position of a moving particle is given by s(t) = 3t⁵ - 1 where t is time in seconds. The velocity in m/s is given by ds/dt. Find the velocity at t = 3.

• A) 3,645 m/s
• B) 243 m/s
• C) 405 m/s
• D) 1,215 m/s
• E) 1,214 m/s

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Definitions:

Present Value Factors

Numerical factors used in calculating the present value of a future amount, considering the time value of money.

Internal Rate of Return

The discount rate that makes the net present value of all cash flows (both positive and negative) from a particular project or investment equal to zero.

Present Value

The present-day value of a future cash sum or cash flow sequence, with a given interest rate.

Average Investment

The mean value of all investments held over a specific period, used to analyze investment performance.