imanisb13
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A hungry bat finds the mother lode of flying insects between the headlights of two bicycles cruising towards each other through the Herrick lake forest preserve. The bikes are 100 meters apart at the start and one has a speed of 8 m/s and the other a speed of 10 m/s. The bat has a speed of 20 m/s. Assume that the bat flies from the front tire of one bike straight to the front tire of the other bike, then turns around with no delay and heads towards the other bike. This is repeated until both bikes and the bat are at the same place. Determine how far the bat flies during this flying feast.​

Respuesta :

Answer:

111.1 meters flown from bat

Explanation:

So one bike is going at 8m/s and the other bike is going at 10m/s in the direction towards the other bike. So we can make one bikes velocity =0 and the other we add the velocities together to get V of bike a = 18m/s while velocity of bike b =0m/s. Then we use the distance apart to find the time. so we take our average velocity formula and rearrange it to time = displacement/average velocity. This gives t = 100/18=5.55secs. We then take the bats velocity to find to the distance traveled. 5.55secs = x/20m/s. We just cross multiply to get 111.1 repeating which we just say is 111.1m traveled from the bat.

onyebuchinnaji

The distance traveled by the bat before the two bikes meet is 1,000 m.

Time taken for for the two bikes to be in the same place

The time taken for the bikes to meet or intersect each other is calculated as follows;

(Va - Vb)t = d

where;

  • t is the time taken for the bikes to meet each other
  • d is the distance between the bikes
  • Va is the velocity of the first bike
  • Vb is the velocity of the second bike

(10 m/s - 8 m/s)t = 100 m

2 m/s (t) = 100 m

t = 100 m / 2 m/s

t = 50 seconds

Distance traveled by the bat within this period

Distance = average speed x time

Distance = 20 m/s x 50 s

Distance = 1,000 m

Thus, the distance traveled by the bat before the two bikes meet is 1,000 m.

Learn more about distance traveled here: https://brainly.com/question/2854969

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