A ball is thrown up into the air with an initial velocity of 50 feet per second. The height of the ball in feet at time t is given by the function h(t) = -16t^2 + 50t At what rate is the height of the ball changing at t=2 seconds?

A ball is thrown up into the air with an initial velocity of 50 feet per second. The height of the ball in feet at time t is given by the function h(t) = -16t^2 + 50t At what rate is the height of the ball changing at t=2 seconds?

Name: Topic: related rates algebraic functionsA ball is thrown up into the a
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: Topic: related rates algebraic functionsA ball is thrown up into the air with an initial velocity of 50 feet per second. The height of the ball in feet at time t is given by the functionh(t) = -16t^2 + 50tAt what rate is the height of the ball changi

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter1: A Physics Toolkit

Section: Chapter Questions

Problem 54A

See similar textbooks

Similar questions

A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo = 20.5 m/s. The cliff is h = 26.0 m above a flat, horizontal beach as shown in the figure.
Applying principles of dynamics (with step by step solutions pls i give 5 stars) The velocity of a particle which moves along the a linear reference axis is given by v = 2—4t— 6t3, t is in seconds while v is in meters per second. Eval-uate the position, velocity and acceleration when t = 3 seconds. Assume an your own initial position and initial point in time. Further, set a variable for position as you see fit.
Formulas: O Speed = distance / time a Velocify = displacement / time plus a given direction %3D 6. What is the velocity of a rocket that goes 700 kilometers north in 25 seconds? d= 700 km +=25 seconds V=? VE dxt V= 7. How much fime does it fake a person to walk 8 kilometers east at a Velocity of 4 kilometers per hour? 8. A motorcycle travels 300 miles south in 3 hour. Ala at is the đverade velocity?
Hi I am in phyiscs I and it has the problem a runner ran the marathon (approx. 26.1) in 2 hours and 57 min. What was the average speed of the runner in m/s? I understand that I would have to divide the total distance by the total time, but I'm not sure how they changed the miles to meters. Please detalied steps of how to solve this so I can understand it. Thank you!
This cannot be hand-written, please type out the solution Use the average time to drop and calculate the distance dropped using the equation given. Then compare this distance to the measured distance. Use Y = 1/2 g t^2, Thus Y= 4.9 t^2 See my attempt attached with the data - teacher indicated my work needed correction, please help Thank you!
The kinematic equations can describe phenomena other than motion through space andt ime. Suppose represents a person’s bank account balance. The units of x would be dollars ($) , and velocity ? would give the rate at which the balance changes (in units of, for example, $/month). Acceleration would give the rate at which ? changes. Suppose a person begins with ten thousand dollars in the bank. Initial money management leads to no net change in the account balance so that ? = 0 . Unfortunately, management worsens over time so that ? = −250$/????h . Assuming ? is constant, find the amount of time in months until the bank account is empty.
Problem 1: An object is launched off the top of a 45-m tall building with velocity of 70.9 m/s in the horizontal direction (no angle with respect to the horizontal). Pai. (a) In the space below, explain how you would find the time that the object is in the air. (Type the equation(s) you would use and the variable(s) you would solve for. Describe any other important steps. Do not show calculations or the numeric answer.)
If the motion of a jet after landing on a runway is shown by the a-t graph below. Note that att = 0 s, s = 0 m and v = 545 m/s. %3D What is the velocity (v) at time t = 34s? Answer in WVhole number. Numerical values only. Don't indicate units here, just on the submitted solution. a (m/s) 10 t(s) -10 -20 20
A cannon is turned towards the west and a cannonball is fired. This cannonball has a velocity of 252 kmph at an angle 60 degrees. The cannonball lands on a hillside 100 metres above its starting level. What is the range of the cannon ball? Make a simple sketch. Make a list of all given values, units, and the variables they represent. write the general form of the equation you are going to use. Insert the known values and solve. State at the start of the problem which direction is positive by using an up or down arrow. Keep the velocity components and time to 2 decimal places.
A cannonball is fired with a velocity of 252 kmph at an angle of 60 degrees. The cannonball lands in a valley 150 metres below its starting level. What is the range of the cannonball? Make a simple sketch. Make a list of all given values, units, and the variables they represent. write the general form of the equation you are going to use. Insert the known values and solve. State at the start of the problem which direction is positive by using an up or down arrow. Keep the velocity components and time to 2 decimal places.