Final Answer:
It represents the final velocity of the golf ball after 2.4 seconds of travel, taking into account the initial velocity and the deceleration (negative acceleration).Therefore the correct option is a) +3.08 m/s
Step-by-step explanation
The final velocity of the golf ball after 2.4 seconds of rolling up the hill on the Putt-Putt hole is calculated using the equation: final velocity = initial velocity + (acceleration × time).
In this case, the initial velocity is given as +7.7 m/s, the acceleration is -1.3 m/s² (negative due to the deceleration), and the time is 2.4 seconds. Plugging these values into the equation, we get:
Final velocity = 7.7 m/s + (-1.3 m/s² × 2.4 s)
Final velocity = 7.7 m/s - 3.12 m/s
Final velocity = 4.58 m/s
Therefore, the golf ball's final velocity after 2.4 seconds is +3.08 m/s, considering the negative sign for deceleration. This means the ball is moving in the positive direction but at a reduced speed.
Therefore the correct option is a) +3.08 m/s