Final answer:
To determine the velocity of the 200-lb crate when t=2.5s, we need to find the area under the Force vs. time graph up to t=2.5s, which represents the impulse applied to the crate. Then we can use the equation Impulse = Change in Momentum to find the velocity of the crate.
Step-by-step explanation:
To determine the velocity of the 200-lb crate when t=2.5s, we need to find the area under the Force vs. time graph up to t=2.5s. This area represents the impulse applied to the crate, which is equal to the change in momentum of the crate. Since the crate starts from rest, the initial momentum is zero. Therefore, the impulse is equal to the final momentum of the crate. To find the final momentum, we need to convert the force from lb to Newtons using the conversion factor 1 lb = 4.448 N.
Let's assume the force values are given in lbs on the graph. To convert to Newtons, we multiply each force value by 4.448 N/lb.
Next, we calculate the impulse:
Impulse = Area under the graph = (Force x Time) | from t=0 to t=2.5s.
Finally, once we have the impulse, we can use the equation Impulse = Change in Momentum to find the velocity of the crate.