Final answer:
Roberta's speed on her cycling trip was 5 km/hr and her velocity was 5 km/hr East.
Step-by-step explanation:
In physics, the two concepts of speed and velocity are slightly different. Speed is a scalar quantity that refers to 'how fast an object is moving' whereas velocity is a vector quantity that refers to both 'the speed of an object' and 'the direction of its motion.'
First, let's calculate Roberta's speed. Speed is calculated by dividing the total distance travelled by the total time taken. In this case, Roberta has cycled a distance of 75 kilometers over a period of 15 hours. Therefore, her speed is 75 km / 15 hrs = 5 km/hr.
Next, let's address velocity. Since velocity includes direction and Roberta travelled due East, her velocity would be the same numerical value as her speed, but we would add the directional component to it. So her velocity is 5 km/hr East.
Learn more about Speed and Velocity