Question

emily and john are racing toy boats on a straight waterway. emilys boat travels 8 meters in 4 seconds, while johns boat travels 6 meters in 1 second. based on this data, which statement is correct? a. emilys boat has a higher speed but the same velocity as johns boat. b. johns boat has a higher speed and velocity than emilys boat. c. emilys boat has a higher speed and velocity than johns boat. d. both boats have the same speed but different velocities.

Explanation:

Step1: Calculate the speed of Emily's boat

Speed = Distance / Time. Emily's boat travels 8 meters in 4 seconds. So, speed of Emily's boat \( v_{E}=\frac{8}{4}=2\) m/s.

Step2: Calculate the speed of John's boat

John's boat travels 6 meters in 3 seconds. So, speed of John's boat \( v_{J}=\frac{6}{3}=2\) m/s.

Step3: Analyze velocity

Velocity is a vector quantity (has magnitude and direction). Since both boats are on a straight - waterway (assuming same direction), and their speeds are equal.

Answer:

D. Both boats have the same speed but different velocities.