Question

A student is standing still at the front doors of Maple. They start running to catch the bus at 2 ft/ s . Their maximum running speed is 7ft/s.

(a) How far away is the bus stop if they reach the bus stop after accelerating from standing still until reaching maximum speed and running at that speed for 1 minute? (assume when they reach the bus stop they are at rest.)

(b) Suppose that the student gets to the bus stop and realizes they forgot their laptop in Maple. The next bus arrives in 2 minutes. However, they are extremely tired at this point, and their max running speed is now 6 ft/s. Can they run back to maple and return to the bus stop in time? (Assume their acceleration remains the same)

(c) Alternatively, suppose the student is running from Maple Hall to Sieg Hall which is 2000 feet away. Find the time (in seconds) it takes the student to travel this distance. (Assume they are at rest when they reach Sieg.) Use 7ft/s & 2 ft/s^2.

Please do all parts with explanation

Answer 1