A fireworks mortar is launched straight upward from a pool deck platform 4 m off the ground at an initial velocity of 61 m/sec. The height of the mortar can be modeled by where h(t) is the height in meters and t is the time in seconds after launch. What is the maximum height

22.48m

Explanation:

Given that the pool deck platform is 4 m above the ground.

The initial velocity of mortar in the upward direction, u=21 m/s

At the maximum height, the velocity of the mortar will become zero.

So, the final velocity, v=0

Acceleration due to gravity, g = 9.81 m/ in the downward direction.

By using the equation of motion

On putting all the values, we have

s= 22.48 m

Hence, the mortar will reach a maximum height of 22.48m.

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