The de - acceleration of bullet from 360 m/s after it struck the tree trunk and was brought to rest is -152.54 x 10⁴ m/s².
<h3>What is Acceleration in Kinematics?</h3>
Acceleration is defined as the rate of change of velocity with respect to time. Mathematically -
<h3>a = Δv/Δt</h3>
Given is a bullet initially travelling at 360 m/s struck into a tree trunk 8.5 cm inside and comes to rest. From this, we can write
initial velocity [u] = 360 m/s
final velocity [v] = 0 m/s
distance travelled [d] = 8.5 cm = 0.085 m
The time span after which bullet comes to rest will be -
Δt = d/u
Δt = 0.085/360 = 2.36 x 10 ⁻⁴ seconds
a = Δv/Δt
Δv = 0 - 360 = - 360 m/s
a = (v - u)/Δt
a = - 360/(2.36 x 10 ⁻⁴)
a = - 152.54 x 10⁴ m/s²
Therefore, the de - acceleration of bullet from 360 m/s after it struck the tree trunk and was brought to rest is -152.54 x 10⁴ m/s².
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