Data:
• Position equation
The exercise is asking for speed.
The first derivative of position is speed.
Procedure:
1. Calculating the first derivative: obtaining the equation of speed v ( t )
2. Calculating the time it takes to reach 45.6m/s: isolating t
Answer: 12s
Summary:
0. Calculating the first derivative of position, which equals to speed
,
1. Isolating ,t
,
2. Obtaining the time