A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for the first three seconds. Plot a graph of (a) velocity v as a function of time t and (b) position x as a function of time t taking x, = 0. Find (c) the maximum velocity during the period and (d) the distance moved by the particle in 3.0 s. a(m/s4 10.0- 5.0 1.00 200 3.00 t(s) -5.0 Fig. 3 -10.0+

A particle starts from rest and undergoes accelerations as plotted in Fig. 3 below for the first three seconds. Plot a graph of (a) velocity v as a function of time t and (b) position x as a function of time t taking x, = 0. Find (c) the maximum velocity during the period and (d) the distance moved by the particle in 3.0 s. a(m/s4 10.0- 5.0 1.00 200 3.00 t(s) -5.0 Fig. 3 -10.0+

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 14PQ: When the Earth passes a planet such as Mars, the planet appears to move backward for a time, a...

See similar textbooks

Similar questions

A student drops a water-filled balloon from the roof of the tallest building in town trying to hit her roommate on the ground (who is too quick). The first student ducks back but hears the water splash 4.021 s after dropping the balloon. If the speed of sound is 331 m/s, find the height of the building, neglecting air resistance.
A rock is thrown downward into a well that is 8.76 m deep. If the splash is heard 1.02 seconds later, what was the initial speed of the rock?
At t = 0, a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xyplane with a constant acceleration of (2.0i −4.0j) m/s2. At the instant the x coordinate of the particle is 15 m, what is the speed of the particle (in m/s)?
The displacement of an object is described by the following equation, where x is in meters and t is in seconds. Given: x(t)=30.0m cos6.0t calculate the 1)period of the displacement 2)maximum acceleration
The motion of a vibrating particle is defined by the position vector r = 10(1 − e−3t)i + (4e−2tsin 15t)j, where r and t are expressed in millimeters and seconds, respectively. Determine the velocity and acceleration when t = 0. When t = 0, the velocity is ____mm/s ∡ 63.4° and the acceleration is ____mm/s2 ⦫ _____°.
Joanna is running laps around a circular track. In 25 minutes, she completes 14 laps. What is the period, T, of Joanna's motion? 38.4 s 1.79 s 107 s 81.1 s
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.
When the Earth passes a planet such as Mars, the planet appears to move backward for a time, a phenomenon known as retrograde motion. Ancient astronomers believed that the Earth did not move and that the planets moved around the Earth. They also believed that uniform circular motion was perfect and that heavenly objects such as planets exhibited this perfect motion. How do you suppose ancient astronomers accounted for retrograde motion? Include a sketch with your explanation.
What is necessary to designate a position? (2.1) (a) fundamental units (b) motion (c) a direction (d) a reference point
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
What is the average acceleration aav of the particle over the first 20.0 seconds?
Jeff Bezos just landed on the moon and is conducting an experiment, he 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. 1) Determine the magnitude of the acceleration due to gravity on the moon. 2) he then throws the hammer straight up into the Martian sky. If it comes back to his hand in 4.20 s, with what speed did he throw it?