Thus the particle reach the height of 80f at 1second while it goes up and after 5s while moves downwards. Step3 c) (b) When the particle reaches the ground, the height will be zero, and so solving the equation with s = 0 gives: S = 16t² + 96t 0 = 16t² + 96t ⇒ 16t² = 96t ⇒ t = 6s Thus the particle reaches the ground at time 6 vx Do

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For part (a) how did you get the answer 1,5 cause I get stuck on the part
**Example Calculation of Projectile Motion**

### Step 2

The height of the projectile is given as:

\[ s = -16t^2 + 96t \]

When \( s = 80 \) ft, putting this in the equation gives:

\[ 80 = -16t^2 + 96t \]

\[ \Rightarrow 16t^2 - 96t + 80 = 0 \]

Thus, the particle reaches the height of 80 ft at 1 second while it goes up and after 5 seconds while it moves downwards.

### Step 3

#### Part (b)
When the particle reaches the ground, the height will be zero, and so solving the equation with \( s = 0 \) gives:

\[ s = -16t^2 + 96t \]

\[ \Rightarrow 0 = -16t^2 + 96t \]

\[ \Rightarrow 16t^2 = 96t \]

\[ \Rightarrow t = 6 \text{s} \]

Thus, the particle reaches the ground at time 6 seconds.
Transcribed Image Text:**Example Calculation of Projectile Motion** ### Step 2 The height of the projectile is given as: \[ s = -16t^2 + 96t \] When \( s = 80 \) ft, putting this in the equation gives: \[ 80 = -16t^2 + 96t \] \[ \Rightarrow 16t^2 - 96t + 80 = 0 \] Thus, the particle reaches the height of 80 ft at 1 second while it goes up and after 5 seconds while it moves downwards. ### Step 3 #### Part (b) When the particle reaches the ground, the height will be zero, and so solving the equation with \( s = 0 \) gives: \[ s = -16t^2 + 96t \] \[ \Rightarrow 0 = -16t^2 + 96t \] \[ \Rightarrow 16t^2 = 96t \] \[ \Rightarrow t = 6 \text{s} \] Thus, the particle reaches the ground at time 6 seconds.
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