https://file.aiquickdraw.com/mathbot/file/17267053091845p8noxpn.jpg

The rocket reaches a height of 16 feet at \( t = 1 \) second.

Would you like further details or explanations? Here are some related questions to expand upon this concept:

1. How long does the rocket take to reach its maximum height?
2. What is the maximum height the rocket will reach?
3. When will the rocket hit the ground again?
4. What is the rocket's velocity at \( t = 1 \) second?
5. Can you find the time interval when the rocket is above 16 feet?

**Tip:** The equation \( s(t) = -16t^2 + 32t \) models the height of the rocket over time, where the coefficient of \( t^2 \) comes from gravitational acceleration.

A model rocket is launched vertically upward from the ground with an initial velocity of 32 ft/s. The height of the rocket in feet after t seconds is given by s(t) = -16t^2 + 32t. When is the rocket at a height of 16 ft? Enter an exact answer.

Learn how to solve the quadratic equation representing a model rocket's height: s(t) = -16t^2 + 32t. This problem demonstrates the application of algebraic concepts and the quadratic formula in projectile motion scenarios. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation