Question

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. What is the maximum height of the particle?

Answer 1

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.
let's find the  maximum heightof the particle

s(t)=−16t2+16t+96
s(1/2)=−16(1/2)2+16(1/2)+96=−16(1/4)+8+96=−4+8+96=100
Therefore the answer is 100

Answer 2

The maximum height of this particle undergoing a projectile motion is equal to 100 feet.

Given the following data:

Initial height = 96 feet.

Initial speed = 16 feet per second.

How to calculate the maximum height of this particle?

First of all, we would determine the time at which the particle reaches a maximum height as follows:

t = u/2a

t = 16/2×16

t = 0.5 seconds.

Mathematically, the maximum height of this particle undergoing a projectile motion would be calculated by using this formula:

s(t) = -u₀t² + u₀t + h₀

s(0.5) = -16(0.5)² + 16(0.5) + 96

s(0.5) = -4 + 8 + 96

s(0.5) = 100 feet.

Read more on projectile motion here: https://brainly.com/question/24949996

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