A june bug is hit head-on by a truck travelling at a speed of 21.5 m/s. Which of the following is true? The magnitude of the june bug's acceleration is equal to the magnitude of the truck's acceleration. The magnitude of the june bug's acceleration is smaller than the magnitude of the truck's acceleration. The magnitude of the june bug's acceleration is larger than the magnitude of the truck's acceleration.
Question
A june bug is hit head-on by a truck travelling at a speed of 21.5 m/s. Which of the following is true? The magnitude of the june bug's acceleration is equal to the magnitude of the truck's acceleration. The magnitude of the june bug's acceleration is smaller than the magnitude of the truck's acceleration. The magnitude of the june bug's acceleration is larger than the magnitude of the truck's acceleration.
Solution
The magnitude of the june bug's acceleration is larger than the magnitude of the truck's acceleration.
Here's why:
Acceleration is the rate of change of velocity per unit of time. When the truck hits the june bug, the bug's velocity changes very rapidly in a very short amount of time, which means it experiences a large acceleration.
On the other hand, the truck's velocity changes very little (if at all) when it hits the bug, because the truck's mass is so much larger than the bug's. Therefore, the truck's acceleration is much smaller.
So, the magnitude of the june bug's acceleration is larger than the magnitude of the truck's acceleration.
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