Respuesta :
Answer:
427.196 m
Explanation:
u = Initial velocity = 312 m/s
t = Time = 1.4 s
s = Displacement
a = -9.8 m/s² (because the bullet is decelerating as the bullet is going straight up)
Equation of motion
[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow s=312\times 1.4-\frac{1}{2}\times 9.8\times 1.4^2\\\Rightarrow s=427.196\ m[/tex]
So, Displacement at 1.4 seconds is 427.196 m
Answer:
427.196 m
Explanation:
Given:
Initial velocity of the bullet, u = 312 m/s
Time, t = 1.4 s
Acceleration due to gravity, g = 9.8 m/s²
since the bullet is fired in the direction opposite to the direction of the acceleration due to the gravity, the acceleration will be negative
therefore,
From Newton's equation of motion
[tex]s=ut+\frac{1}{2}at^2[/tex]
where,
s is the displacement
a is the acceleration
on substituting the respective values, we get
[tex]s=312\times1.4+\frac{1}{2}\times(-9.8)\times1.4^2[/tex]
or
s = 436.8 - 9.604 = 427.196 m
