3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB the velocity of the particle is (0.5t - 0.01t²) ms ¹, where t s is the time after leaving A. (i) Given that the acceleration of P at B is 0.2ms-2, find the time taken for P to travel from A to B. The acceleration of P from B to C is constant and equal to 0.2 ms-². (ii) Given that P reaches C with speed 15 ms-¹, find the time taken for P to travel from B to C. P travels with constant deceleration 0.2 ms-² from C to D. Given that the distance CD is 300 m, find (iii) the speed with which P reaches D, (iv) the distance AD.

3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB the velocity of the particle is (0.5t - 0.01t²) ms ¹, where t s is the time after leaving A. (i) Given that the acceleration of P at B is 0.2ms-2, find the time taken for P to travel from A to B. The acceleration of P from B to C is constant and equal to 0.2 ms-². (ii) Given that P reaches C with speed 15 ms-¹, find the time taken for P to travel from B to C. P travels with constant deceleration 0.2 ms-² from C to D. Given that the distance CD is 300 m, find (iii) the speed with which P reaches D, (iv) the distance AD.

Name: 3. A particle P travels in a straight line from A to D, passing throu
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: 3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB thevelocity of the particle is (0.5t - 0.01t²) ms¯¹, where t s is the time after leaving A.(i) Given that the acceleration of P at B is 0.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 1) Billy Bob drives 35.6km to work each day (down at the call center where he makes up random…

Q: 4. You attach a meter stick to an oak tree, such that the top of the meter stick is 2.27 meters…

A: Given The top of the meter stick from the ground is h1=2.27 m. The time is taken by Acron to cover…

Q: 2) An object starts from rest and travels at a speed of 5m/s for the first 5 seconds. It then rests…

A: Speed = distance /time Distance = speed × time Average speed = total distance travelled /total…

Q: : An Olympic class sprinter starts a race from rest with an acceleration of 4.7 m/s. Take her…

Q: 2.) A subway train starts from rest at a station and accelerates at a rate of 2.50 mls for 15.90…

A: Given: The rate of acceleration is 2.50 m/s2. The time duration is 15.90 s. The rate of deceleration…

Q: Problem 12: A particle moves in a straight line at a constant speed of 32.3 m/s. What is its…

Q: Speedy Sue, driving at +30.0 m/s, enters a one-lane tunnel. She then observes a slow- moving van 200…

Q: The person realizes they are holding back traffic at 60.0 mph instead of the posted speed limit of…

A: (a) The kinematics equation for the velocity in term of acceleration and time is: Substitute the…

Q: 1. The motion of a particle which moves along the straight line is defined by the relation x(t) = t³…

A: a. The given equation of motion is equal to: x(t)=t3-9t2+24t-8

Q: A boy throws a rock into a 10.0 m deep well at 4.00 m/s [down]. a) What is the velocity of the rock…

Q: If a half marathon is 13 1 miles ,how long will ít take for a runner to Complete the distance…

A: Given: The distance of the half marathon is 13.1 miles. The average rape of rinning is 5 minutes and…

Q: The initial velocity and acceleration of four moving objects at a given instant in time are given in…

A: (a) final speed v=v0+atv=(12)+(2.8)(2.3)v=18.44 m/s(b) final speed…

Q: Problem 7: A hot-air balloon rises from ground level, moving straight upward at a constant speed of…

A: Given: The velocity of the hot-air balloon is 6.09 m/s vertically upward. The time interval is 28.4…

Q: The velocity of a particle follows the following function v(t)=2t^2-1 in the unit of m/s. Find the…

A: We know that acceleration of a particle is rate of change of velocity with respect to time.…

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t² – 3t – 18,…

A: Displacement = -90 m

Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

3. A particle P travels in a straight line from A to D, passing through the points B and C. For the section AB the
velocity of the particle is (0.5t - 0.01t²) ms¯¹, where t s is the time after leaving A.
(i) Given that the acceleration of P at B is 0.2ms-2, find the time taken for P to travel from A to B.
The acceleration of P from B to C is constant and equal to 0.2 ms ².
(ii) Given that P reaches C with speed 15 ms-¹, find the time taken for P to travel from B to C.
P travels with constant deceleration 0.2 ms ² from C to D. Given that the distance CD is 300 m, find
(iii) the speed with which P reaches D,
(iv) the distance AD.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Calculating time taken by P to travel from A and B

VIEW

Step 3: calculating time require to reach C from B

VIEW

Step 4: calculating speed with which P reaches D

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 28 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Two airplanes leave an airport at the sametime. The velocity of the first airplane is680 m/h at a heading of 51.6◦. The velocityof the second is 640 m/h at a heading of 176◦.How far apart are they after 2.3 h?Answer in units of m.
Question 16 Assume the velocity of a person traveling along a straight hiking trail is given by the graph. The input to the function is time in hours, and the output is velocity in miles per hour. The trail travels east-west, and the velocity shown is the eastward velocity. %24 | If the hiker started 2 miles west of the only outhouse on this trail at time t = 0 hour, is there a time when the hiker is 5 miles east of the outhouse? O Yes No O You cannot estimate that information using this graph.
42) A man wants to cross a SOD m wide. His rowing speed (relative to river 3000 m/h. The river flows with a of the water ) is the man's ualking peed Aowing & walking) he should take to get the point disctly opposite his star ting point in the shortest time ? b). How long does it take?" speed on shore is 5000 m/h. a). find the path (combined 2000 m/h. If
Problem 4: A police car traveling at 95 km/h is traveling west, chasing a motorist traveling at 80 km/h (both velocities are with respect to the ground and are constant). Find: 1. The velocity of the motorist with respect to the police car. 2. If they are originally 250 m apart, in what time interval (in seconds) will the police car overtake the motorist.
A particle is moving in a straight line according to the position function s(1) = 1 - 612 +9t +5, 120, where s is measured in metres and t in se ɔnds. a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice. When does that happen? c) How far away, from the starting point, is the particle at 1 = 3? d) The particle brakes once. When does that happen? : e) Find the total distance travelled before braking occurs. (*
41. An object moves along the x-axis with constant acceleration a. Verify that can ch [v(t)]? = v3 + 2a[x(t) – xo].
You drive a beat-up pickup truck down a straight road for 5.2 mi at 43 mi/h, at which point yourun out of fuel. You walk 1.2 mi farther, to the nearest gas station, in 27 min (= 0.450 h). What isyour average velocity from the time you started your truck to the time that you arrived at thestation?
be fast
make answer clear