Ok. I'm writing that big test tomorrow, and I have no idea what should I do with this :
An alien is 5m from an astronaut. The astronaut notices the alien and they simultaneously begin to run from each other with v[alien]= 2m/s and v[astronaut] = 4m/s. Find their mutual distance 20seconds later.
Please help, IT'S TOMORROW :getting dramatic:
Don't worry, I'm here to help you solve this problem step by step!
To find the mutual distance between the alien and astronaut after 20 seconds, we need to determine how far each of them will have traveled in that time span.
First, let's calculate the alien's distance traveled in 20 seconds. Since the alien's speed is given as 2m/s, we can use the formula distance = speed × time. Therefore, the alien will have traveled:
Distance (alien) = speed (alien) × time
Distance (alien) = 2m/s × 20s
Distance (alien) = 40m
The alien will have moved 40 meters away from the initial position.
Next, let's calculate the astronaut's distance traveled in 20 seconds. Since the astronaut's speed is given as 4m/s, we can use the same formula:
Distance (astronaut) = speed (astronaut) × time
Distance (astronaut) = 4m/s × 20s
Distance (astronaut) = 80m
The astronaut will have moved 80 meters away from the initial position.
To find the mutual distance between them, we need to subtract their distances from each other. In this case, the alien is moving away from the astronaut, so we subtract the distance covered by the alien from the distance covered by the astronaut.
Mutual distance = Distance (astronaut) - Distance (alien)
Mutual distance = 80m - 40m
Mutual distance = 40m
After 20 seconds, the mutual distance between the alien and the astronaut will be 40 meters.
Remember, it's always a good idea to double-check your work and review any formulas or equations that are relevant to the problem. Good luck on your test tomorrow!