Two cars, each having speeds of ๐ฃ! = 40.0 "# , and ๐ฃ$ = 35.0 "# are headed at each other on the same straightroad. A bird that can fly ๐ฃ% = 68.0 "# flies off the front of one car when they are ๐ท = 60๐ apart and headsdirectly for the other car. On reaching the other car the bird flies back to the first car and repeats this processuntil it canโt. What is the total distance the bird travels before the cars collide
Question
Two cars, each having speeds of ๐ฃ! = 40.0 "# , and ๐ฃ$ = 35.0 "# are headed at each other on the same straightroad. A bird that can fly ๐ฃ% = 68.0 "# flies off the front of one car when they are ๐ท = 60๐ apart and headsdirectly for the other car. On reaching the other car the bird flies back to the first car and repeats this processuntil it canโt. What is the total distance the bird travels before the cars collide
Solution
The bird will continue to fly back and forth between the two cars until they collide. The cars are moving towards each other, so we first need to find out how long it will take for the cars to collide.
The cars are 60m apart and moving towards each other at a combined speed of 40.0 km/h + 35.0 km/h = 75.0 km/h.
First, we need to convert this speed to m/s because the distance is given in meters.
1 km = 1000 m and 1 hour = 3600 seconds.
So, 75.0 km/h = 75.0 * 1000 m / 3600 s = 20.83 m/s.
The time it takes for the cars to collide is the distance divided by their combined speed, which is 60m / 20.83 m/s = 2.88 seconds.
The bird is flying at a constant speed of 68.0 km/h, which is 68.0 * 1000 m / 3600 s = 18.89 m/s.
The total distance the bird travels is its speed multiplied by the time, which is 18.89 m/s * 2.88 s = 54.4 meters.
So, the bird travels a total distance of 54.4 meters before the cars collide.
Similar Questions
Two cars, each having speeds of ๐ฃ! = 40.0 "# , and ๐ฃ$ = 35.0 "# are headed at each other on the same straightroad. A bird that can fly ๐ฃ% = 68.0 "# flies off the front of one car when they are ๐ท = 60๐ apart and headsdirectly for the other car. On reaching the other car the bird flies back to the first car and repeats this processuntil it canโt. What is the total distance the bird travels before the cars collide
๐ผ ๐๐๐ง ๐ฉ๐ง๐๐ซ๐๐ก๐จ ๐๐ก๐ค๐ฃ๐ ๐ ๐จ๐ฉ๐ง๐๐๐๐๐ฉ ๐ก๐๐ฃ๐ ๐๐ฉ ๐ ๐๐ค๐ฃ๐จ๐ฉ๐๐ฃ๐ฉ ๐จ๐ฅ๐๐๐ ๐ค๐ 60.0 ๐ข๐/๐ ๐๐ค๐ง ๐ ๐๐๐จ๐ฉ๐๐ฃ๐๐ ๐ ๐๐ฃ๐ ๐ฉ๐๐๐ฃ ๐๐ฃ๐ค๐ฉ๐๐๐ง ๐๐๐จ๐ฉ๐๐ฃ๐๐ ๐ ๐๐ฃ ๐ฉ๐๐ ๐จ๐๐ข๐ ๐๐๐ง๐๐๐ฉ๐๐ค๐ฃ ๐๐ฉ ๐๐ฃ๐ค๐ฉ๐๐๐ง ๐๐ค๐ฃ๐จ๐ฉ๐๐ฃ๐ฉ ๐จ๐ฅ๐๐๐. ๐๐๐ ๐๐ซ๐๐ง๐๐๐ ๐ซ๐๐ก๐ค๐๐๐ฉ๐ฎ ๐๐ค๐ง ๐ฉ๐๐ ๐๐ฃ๐ฉ๐๐ง๐ ๐ฉ๐ง๐๐ฅ ๐๐จ 30.0 ๐ข๐/๐. U๐จ๐ ๐ฉ๐๐๐จ ๐๐ฃ๐๐ค๐ง๐ข๐๐ฉ๐๐ค๐ฃ ๐ฉ๐ค ๐๐ฃ๐จ๐ฌ๐๐ง 21-23 21. What is the constant speed with which the car moved during the second distance ๐ฅ?
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