# Calculus

the height of an object thrown on the surface of a certin planet is s(t)=80t-16t^2. what is the velocity? what is the acceleration? when is the velocity zero?

1. 👍 0
2. 👎 0
3. 👁 188
1. v(t) = s'(t) = 80-32t
a(t) = v'(t) = -32

when is velocity zero?
when is 80-32t = 0 ?
solve for t

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Algebra

THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the

2. ### Calculus

If a rock is thrown upward on the planet Mars with a velocity of 19 m/s, its height (in meters) after t seconds is given by H = 19t − 1.86t^2. When will the rock hit the surface?

3. ### Math

If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t)=−16t^(2)+14t+10 find the height of the object at the time when the speed is zero. The height of the object is h(t)= ___

4. ### calculus

if h(t) represents the height of an object above ground level at time t and h(t) is given by h(t)=-16t^2+13t+1. find the height of the object at the time whent eh speed is zero

1. ### Math

The formula h=48t-16t^2 gives the height, h, in feet, of an object projected into the air after t seconds. If an object is propelled upward, at what time(s) will it reach a height of 32 feet above the ground?

2. ### math

An object is thrown or fired straight upwards at an initial speed of v_0 ft⁄s will reach height h feet after t seconds, where h and t are related to the formula h=-16t^2+v_0 t Suppose the object is fired straight upwards with an

3. ### Math

An object is thrown upward from the top of a 160-foot building with an initial velocity of 144 feet per second. The height, h, of the object after t seconds is given by the equation h=-16t^2+144t+160. When will the object hit the

4. ### Physics

A 2.83-kg object is thrown vertically upward from the surface of Mars, where the acceleration due to gravity is g1 = 3.71 m/s2. The initial velocity is v1, and the object reaches a maximum height of y1. What is the maximum height,

1. ### Physics

I don't understand this at all! use the position equation s=-16t^2 +v0t+s0 to write a function that represents the situation. Find the average rate of change from t1 to t2. a) An object is thrown upward from a height of 6 feet at

2. ### math

If a ball is thrown directly upward with a velocity of 80ft/s, its height (in feet) after t seconds is given by y=80t-16t^2. What is the maximum height attained by the ball?

3. ### Pre-Calc

ball thrown vertically upward with an initial velocity of 80 ft per second. The distance s(in ft) of the ball from the ground after t seconds is s=80t-16t^2. a. draw the illustration. b. for what time interval is ball more than 96

4. ### physics

An object is lifted from the surface of a spherical planet to an altitude equal to the radius of the planet. As a result, what happens to the mass and wieght of the object?
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://www.jiskha.com/questions/515057/the-height-of-an-object-thrown-on-the-surface-of-a-certin-planet-is-s-t-80t-16t-2-what", "fetch_time": 1600994547000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2020-40/segments/1600400221382.33/warc/CC-MAIN-20200924230319-20200925020319-00063.warc.gz", "warc_record_offset": 869463657, "warc_record_length": 4826, "token_count": 872, "char_count": 3042, "score": 3.8125, "int_score": 4, "crawl": "CC-MAIN-2020-40", "snapshot_type": "latest", "language": "en", "language_score": 0.8634731769561768, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00035-of-00064.parquet"}