v(t)=90.25(1−e−t/7)v(2.6)=90.25(1−e−2.6/7)≈28(m/s)v(7)=90.25(1−e−7/7)≈57(m/s)s=∫09.675v(t)dt=∫09.67590.25(1−e−t/7)dt==90.25[t+7e−t/7]9.6750=90.25(9.675+7e−9.675/7−0−7)≈=400.01(m)
v(9.675)=90.25(1−e−9.675/7)≈67.59(m/s)rectangle:67.59 m/s× 9.675 s=653.93 m
Check the work of the model and compare results
v(2.6)=90.25(1−e−2.6/7)≈28(m/s), True
v(7)=90.25(1−e−7/7)≈57(m/s) Time of reach 400m
t400=9.675 s<10.46 s
δ=10.46∣9.675−10.46∣⋅100%≈7.5% I think based on the results, a model can be adopted to solve the problem.
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