An object was shot up into the air at an initial vertical speed of 352 feet per second. Its height as time passes can be modeled by the quadratic function f , where f(t) = -16t^2 + 352t. Here t represents the number of seconds since the object's release, and f(t) represents the object's height in feet. 1) After ____ , this object reached its maximum height of ____ . 2) This object flew for ____ before it landed on the ground. 3) This object was ____ in the air 8 s after its release. 4) This object was 1920 ft high at two times: once ____ after its release, and again later ____ after its release. (Use ft for feet, and s for seconds.)
Added by Annika S.
Close
Step 1
The height of the object as a function of time \( t \) is given by: \[ f(t) = -16t^2 + 352t \] Show more…
Show all steps
Your feedback will help us improve your experience
Supratim Pal and 64 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The height in feet of an object after t seconds is given by the function f(t) = -16t^2 + 90t + 5. Find (a) the maximum height the object will attain, and (b) the number of seconds before the object will hit the ground. Round your answers to the nearest hundredth.
Sri K.
An object is launched upward from the ground with an initial velocity of $200 \mathrm{ft} / \mathrm{sec} .$ The height $h$ (in feet) of the object after $t$ sec is given by $h(t)=-16 t^{2}+200 t$ a) Find the height of the object after 1 sec. b) Find the height of the object after 4 sec. c) When is the object to 400 ft above the ground? d) How long does it take for the object to hit the ground?
Factoring Polynomials
Applications of Quadratic Equations
An object thrown directly upward is at a height of $s=-16 t^{2}+48 t+256$ feet after $t$ seconds (see Example 4). (a) What is its initial velocity? (b) When does it reach its maximum height? (c) What is its maximum height? (d) When does it hit the ground? (e) With what speed does it hit the ground?
The Derivative
Higher-Order Derivatives
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD