Question

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

Answer 1

24.3 m

Step-by-step explanation:

Using the equation of motion

`S=ut+0.5at^(2)` 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

`S=6*3+(0.5*1.4*3^(2)=18+6.3=24.3 m`