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kotykmax [81]
1 year ago
9

10. Given that the total distance travelled is 4 km and that the initial aceleration is 4 m/s², find:a) the value of V.b) the va

lue of T.

Mathematics
1 answer:
andrezito [222]1 year ago
6 0

The initial deceleration is 4 m/s^2, so this means that considering the first line segment, \frac{V-100}{T}=-4 \implies V=100-4T.

The total distance traveled is 4 km, which is equal to 4000 meters. This is equal to the area under the graph, so 400T-\frac{1}{2}(100-V)(5T)=4000.

400(100-4T)-\frac{1}{2}(4T)(5T)=4000\\\\40000-1600T-10T^2=4000\\\\10T^2 +1600T-36000=0\\\\T^2 +160T-3600=0\\\\(T+180)(T-20)=0\\\\T=20 (T > 0)\\\\\therefore V=100-4(20)=20

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