Abullet blasts from the barrel of a gun upward in the vertical direction with an initial speed of 700 m/s . find the maximum altitude reached by this bullet and the time needed to reach it

The maximum altitude that the bullet will reach is the point at which its velocity is zero. The equation that may be used in order to determine the altitude is,

                                   D = ((Vi)2 – (Vf)2)/2g

Where Vi and Vf are the initial and final velocities, respectively. g is the deceleration due to gravity.

Substituting the known values,

                                    D = ((700 m/s)2 – (0 m/s)2) / (2(-9.8 m/s2))

                                    D = 25000 m

Thus, the maximum height is 25000 m.

For the time needed to reach it, we use the equation,

                                    Vf = Vi – (g)(t)

Substituting,

                                    0 = 700 m/s – (-9.8 m/s2)(t)

The value of t is equal to 71.43 s.

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