The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units of, for example, $/month). Accelerationwould give the rate at which v changes. Suppose a personbegins with ten thousand dollars in the bank. Initial moneymanagement leads to no net change in the account balance sothat v0 =0. Unfortunately, management worsens over time sothat a = -2.5 x 102 $/month2. Assuming a is constant, findthe amount of time in months until the bank account is empty.

The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units of, for example, $/month). Accelerationwould give the rate at which v changes. Suppose a personbegins with ten thousand dollars in the bank. Initial moneymanagement leads to no net change in the account balance sothat v0 =0. Unfortunately, management worsens over time sothat a = -2.5 x 102 $/month2. Assuming a is constant, findthe amount of time in months until the bank account is empty.

Name: The kinematic equations can describe phenomena other thanmotion throug
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 33P: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,...

See similar textbooks

Similar questions

(a) A car speedometer has a 5% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per how. Note 1 km = 0.6214 mi.
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Check Your Understanding Light navels about 9 Pm in a year. Given that a year is about 3107s , what is the speed of light in meters per second?
Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
A car takes 5.0 s to go from v=0 m/s to v=24 m/s at constant acceleration. If you wish to find the disance traveled using the equation d=1/2at squared, what value should you use for a? Express your answer to two significant figures and includ the appropraite units.
particle moves according to a law of motion .. 10). t20. where t measured in seconds and s in feet. (If an answer does not kist, enter DNE.) s = f(t), f(t) = t3 – 8t2 + 24t (a) Find the velocity at time t. v(t) = ft/s (b) What is the velocity after 1 second? v(1) = ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft (f) Draw a diagram like this figure to illustrate the motion of the particle. S t = 0 S= 0 t = 6 s= 72 t = 0 s = 0 t = 6 s= 72 t = 0 8 t = t = 0 t = 3 1600 S= 0 S= 0 1600 S = 27 27 (g) Find the acceleration at time t and after 1 second. a(t) = ft/s2 a(1) = ft/s² (h) Graph the position, velocity, and acceleration functions for 0sts6. (A graphing calculator is recommended.) 60 60 40 40 20 20 3 4 5 4 - 20 - 20 60 60 40 40 20 20 3 6. 3 5 a - 20 - 20 (i) When is the particle speeding up? (Enter your answer using interval…
A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/s
Given the equation: a = kr"vm where a is the acceleration of a particle moving with speed v in a circle of radius r, and k is a constant. By using dimensional analysis prove this equation to determine values of n and m, then write the simplest form of an equation for the acceleration.
Yelena, Natasha, and the "Red Guardian" are looking for Melina's house. They walk 6.0 km [N], then 8.4 km [20oS of W]. How far are they from where they started?
OTwo faucets can be used to empty a tank of water. Suppose the tank is full. . When both faucets are opened at he same time, the tank takes 2 hours to empty, astonbeo tere However, if only one taucetis opened, then Faucet A can empty the tank twice as fastas taucet B. if ony Faucet 040 minute's 03 hour s 0. 2 How many liters of a 20% al cohol olution should be added to 40 フ0 Sf 080 O 20 liters 3) Jane For a blouse. Howw much was the blouse! 1for 414 9550
Caleb left home and traveled toward the city A at an average speed of 57.9 km/h. Some time later, Kim left traveling in the opposite direction with an average speed of 46 km/h. After Caleb has traveled for 1.24 hours they were 117 km apart. Find the number of minutes Kim traveled. Round off only on the final answer expressed in three decimal places. PLEASE SHOW YOUR COMPLETE AND CORRECT SOLUTION. ASAP! Thank you.
An object is dropped from rest and takes 2.94 seconds to reach the ground below. From what distance above the ground was it dropped? State this as a positive number and assume it has proper SI Units.