A bullet is fired straight up from a gun with a
muzzle velocity of 312 m/s.
Neglecting air resistance, what will be its displacement after 1.4 s? The acceleration of
gravity is 9.8 m/s
2
.
To determine the displacement of the bullet after 1.4 seconds, we can use the kinematic equation:
s = ut + (1/2)at^2
Where:
s = displacement (unknown)
u = initial velocity = 312 m/s
t = time = 1.4 s
a = acceleration = -9.8 m/s^2 (negative because it acts in the opposite direction to the bullet's initial velocity)
Plugging in the values into the equation, we have:
s = (312 m/s)(1.4 s) + (1/2)(-9.8 m/s^2)(1.4 s)^2
s = 436.8 - 14.644 = 422.156 m
Therefore, the displacement of the bullet after 1.4 seconds is approximately 422.156 m.