To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
a. When does the ball strike the ground? That is, how long is the ball in the air?
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
b. What is the average velocity of the ball from ?
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
c. What is the instantaneous velocity of the ball at time ?
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
d. What is the instantaneous velocity of the ball at ?
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
e. What is the instantaneous velocity of the ball when it strikes the ground?
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Precalculus (10th Edition)
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
- A Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute, is given by v=1761-0.834t, where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 5 seconds?arrow_forwardRipples in a pond When a stone is thrown into the center of a pond, the ripples spread out in a circular pattern, moving at a rate of 3 feet per second. If the stone is dropped at a point (0,0) in the illustration, when will the ripple reach the seagull floating at the point (15,36)?arrow_forwardIf you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.arrow_forward
- A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t)=2t+1 , express the area burned as a function of time, t (minutes).arrow_forwardWaterWater flows into a tank, and a certain part of it drains out through a valve. The volume v in cubic feet of water in the tank at time t satisfies the equation dvdt=5(v/3). If the process continues for a long time, how much water will be in the tank?arrow_forwardEarthquake the graph shows the vertical acceleration of the Ground from the 1994 Northridge earthquake in Los Angles, as measured by a seismograph. (Here t represents the time in seconds.) (a) At what time t did the earthquake first make noticeable movement of the Earth? (b) At what time t did the earthquakes seem to end? (c) At what time t was the maximum intensity of the earthquake list reachedarrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning