Question

coach belichick is missing tom brady and is pacing on the sideline. he starts in the middle of the field and walks 25 meters towards the patriots end zone then back 30 meters towards the jets end zone. this takes him 15 seconds to do. (please us g = 10 m/s/s for these problems and round to the nearest 100th) what magnitude of the coaches displacement during this time? what is the coaches speed during this time? note: on the real exam you will have to show all work including units and may be asked to create a graph or free body diagram

Explanation:

Step1: Calculate net displacement

Let the direction towards Patriot's end - zone be positive. Displacement $d = 25-30=- 5$ meters. The magnitude of displacement $|d| = 5$ meters.

Step2: Calculate speed

The total distance traveled $s=25 + 30=55$ meters. The time taken $t = 15$ seconds. Speed $v=\frac{s}{t}$. So, $v=\frac{55}{15}\approx3.67$ m/s.

Answer:

Magnitude of displacement: 5 m
Speed: 3.67 m/s