Hello! Can I get help with this math problem? A descriptive explanation would be much appreciated as I am completely lost.

A rocket is fired upward. At the end of the burn, it has an upward velocity of 147 m/sec and is 588 m high.

A) After how many seconds will it reach its maximum height?

B) What is the maximum height it will reach?

C) After how many seconds to the nearest tenth will the rocket hit the ground?

Projectile Motion Problem Formula is

s(t)=-4.9t^2+v0t+s0. Note that 0 is in subscript.

Where t is the number of seconds after the rocket is projected, v0 is the initial velocity, and s0 is the initial height in meters of the rocket.

A thorough explanation would be much appreciated as algebra is not my strong suit. I appreciate all replies and help.