Final answer:
The final speed of the motorcycle after accelerating for 7 seconds while traveling at 50 mi/hr is 59.87 m/s.
Step-by-step explanation:
To find the final speed of the motorcycle after accelerating, we can use the equation:
Final speed = Initial speed + (Acceleration x Time)
Given that the acceleration is 12 mi/hr/s and the initial speed is 50 mi/hr, we can convert these units to a common format. Converting 12 mi/hr/s to m/s² gives us 5.36 m/s² and converting 50 mi/hr to m/s gives us 22.35 m/s.
Plugging these values into the equation, we have:
Final speed = 22.35 m/s + (5.36 m/s² x 7 s)
Final speed = 22.35 m/s + 37.52 m/s
Final speed = 59.87 m/s
Therefore, the final speed of the motorcycle after accelerating for 7 seconds while traveling at 50 mi/hr is 59.87 m/s.