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Some tropical butterflies can reach speeds of up to 11 m/s. Suppose a butterfly flies at a speed of 6.0m/s while another flying insect some distance ahead flies in the same direction with a constant speed. The butterfly then increases its speed at a constant rate of 1.4m/s2 and catches up to the other insect 3.0s later. How far the butterfly travel during the race

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opudodennis

Answer:

24.3 m

Explanation:

Using the equation of motion

[tex]S=ut+0.5at^{2}[/tex] where s is the distance, u is initial velocity, t is time and a is acceleration

Substituting u for 6 m/s, t for 3 s, a for 1.4 m/s2 we obtain

[tex]S=6*3+(0.5*1.4*3^{2}=18+6.3=24.3 m [/tex]

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