Question

PLEASE...need answer in 15minutes!!!!! The force shown in the attached figure is the net eastward force acting on a ball. The force starts rising at t = 0.012 s, falls back to zero at t = 0.062 s, and reaches a maximum force of 35 N at the peak. Determine with an error no bigger than 25% (high or low) the magnitude of the impulse (in N-s) delivered to the ball. Hint: Do not use J = FΔt. Look at the figure. Find the area of a nearly equally sized triangle.

Answer 1

If you knew the equation for the curve, you could integrate between the two times given to get the exact area under the curve. To approximate the area, just make it into two triangles. The base of them would be from the first time, to the point under the peak, which I'd guess at about 0.03. Then the second triangle is from there to the final time. Add the area of the two triangles together.