16. The displacement (in meters) of a particle moving in a straight line is given bys =t- 8t + 18, where t is measured in | seconds. (a) Find the average velocity over each time interval: (i) [3, 4] (iii) [4, 5] (b) Find the instantaneous velocity whent D (c) Draw the graph of s as a function of t and draw the secant lines whose slopes are the average velocities in part (a) and (ii) [3.5, 4] (iv) [4, 4.5] =D4.

16. The displacement (in meters) of a particle moving in a straight line is given bys =t- 8t + 18, where t is measured in | seconds. (a) Find the average velocity over each time interval: (i) [3, 4] (iii) [4, 5] (b) Find the instantaneous velocity whent D (c) Draw the graph of s as a function of t and draw the secant lines whose slopes are the average velocities in part (a) and (ii) [3.5, 4] (iv) [4, 4.5] =D4.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 18P: A race car moves such that, its position fits the relationship x = (5.0 m/s)t + (0.75 m/s3)t3 where...

See similar textbooks

Similar questions

A race car moves such that, its position fits the relationship x = (5.0 m/s)t + (0.75 m/s3)t3 where x is measured in meters and t in seconds. (a) Plot a graph of the car's position versus time. (b) Determine the instantaneous velocity of the car at t = 4.0 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (c) Compare the average velocity during the first 4.0 s with the results of part (b).
In the particle under constant acceleration model, we identify the variables and parameters vxi, vxf, ax, t, and xf xi. Of the equations in the model. Equations 2.132.17, the first does not involve xf xi, the second and third do not contain ax, the fourth omits vxf, and the last leaves out t. So, to complete the set, there should be an equation not involving vxi. Derive it from the others.
A motorboat cuts its engine when its speed is 10.0 m/s and then coasts to rest. The equation describing the motion of the motorboat during this period is = ie-a , where is tin? speed .at time t, , is the initial speed at t = 0, and r is a constant. At t = 20.0 s. the speed is 5.00 m/s. (a) Find the constant c. (b) What is the speed at t - 40.0 s? (c) Differentiate die expression for (l) and thus show that the acceleration of the boat is proportional to the speed at any time.
ASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+226t+227hAssuming that the rocket will splash down into the ocean, at what time does splashdown occur?The rocket splashes down after seconds.How high above sea-level does the rocket get at its peak?The rocket peaks at meters above sea-level.
A wind tunnel test reveals that the acceleration of a racing car from rest can bemodeled by the equationa = 25 – 3s2Find(a) The velocity of the car when its displacement is 2 m;(b) The displacement when the velocity is again zero; and(c) The displacement when the velocity is a maximum.
A particle is fired vertically upwards and its height, h metres, after any number of seconds, t, is given by formula h=50t-2t2 a) Find the height of particle after 2.3 seconds b) Find the speed of particle after 2.7 seconds c) What does dh/dt=0 mean in the context of the question? d) After how many seconds does the particle stop rising?
A particle moves along a straight line with a velocity in millimeters per second given by v = 321 - 17t2 where t is in seconds. Calculate the net displacement Δs and total distance D traveled during the first 5.4 seconds of motion.Answers: Δs = ________ m D = ________m Answers: t = ______ s s = ______km
An object's position as a function of time in one dimension is given by the expression; x(t) = 5.89t + 9.13 where all constants have proper SI Units. What is the object's displacement when its instantaneous velocity is 16.2?
The speed of a bullet as it travels down the barrel of arifle toward the opening is given by v ! (- 5.00 x10*7)t*2+(3.00 x10*5)t, where v is in meters per second and t is inseconds. The acceleration of the bullet just as it leaves thebarrel is zero. (a) Determine the acceleration and positionof the bullet as a function of time when the bullet is in thebarrel. (b) Determine the length of time the bullet is accelerated. (c) Find the speed at which the bullet leaves thebarrel. (d) What is the length of the barrel?
an object has a velocity of (5.4 m/s)i - (5.8 m/s)j. over a period of 1.3 s, its velocity changes to (1.7 m/s)i + (5.9 m/s)j. What is the displacement
The first astronaut has landed on Mars. Conducting some physics experiments, she drops a hammer from rest from a height of 2.01 m and uses a stopwatch to measure that the hammer takes 1.04 s to hit the ground. A. Determine the magnitude of the acceleration due to gravity on Mars. B. She then throws the hammer straight up into the Martian sky. If she comes back to her hand in 4.20 s, with what speed did she throw it?
A soccer player kicks a rock horizontally off a 35.0-m-high cliff into a pool of water. If the player hears the sound of the splash 2.82 s later, what was the initial speed given to the rock? Assume the speed of sound in air is 343 m/s.