- The acceleration of this bullet is equal to 1.25 × 10⁶ m/s².
- The total time the bullet is in contact with the board is 8.0 × 10⁻⁵ secs.
Given the following data:
Initial velocity = 400 m/s
Final velocity = 300 m/s
Distance = 10.0 cm to m = 10/100 = 0.1 m.
How to calculate the acceleration of an object?
Mathematically, the acceleration of this bullet can be calculated by using this formula:
a = (V - U)/t
Where:
- V represents the final velocity.
- U represents the initial velocity.
- t represents the time measured in seconds.
- a represents the acceleration.
However, we would have to use the third equation of motion to calculate the acceleration of this bullet because we do not know the time taken yet.
Mathematically, the third equation of motion is given by:
V² = -U² + 2aS
300² = -400² + 2(a)(0.1)
0.2a = 160000 + 90000
0.2a = 250000
a = 250000/0.2
Acceleration, a = 350,000
Acceleration, a = 1.25 × 10⁶ m/s².
For the time, we have:
t = (V - U)/a
t = (400 - 300)/1.25 × 10⁶
Time, t = 8.0 × 10⁻⁵ secs.
Read more on acceleration here: brainly.com/question/24728358
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