2. A particle moves on a circular path of 20 ft radius so that its arc distance from afixed point on the path is given by s = 413– 10t where s in ft and t is in sec. Computethe total acceleration at the end of 2 sec.

Acceleration is the rate at which an object changes its velocity. An object is accelerating and…

2. A particle moves on a circular path of 20 ft radius so that its arc distance from a fixed point on the path is given by s = 4– 10t where s in ft and t is in sec. Compute the total acceleration at the end of 2 sec.

2. A particle moves on a circular path of 20 ft radius so that its arc distance from a fixed point on the path is given by s = 4– 10t where s in ft and t is in sec. Compute the total acceleration at the end of 2 sec.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter3: Characteristics Of The Driver, The Pedestrian, The Bicyclist, The Vehicle, and The Road

Section: Chapter Questions

Problem 10P

See similar textbooks

Related questions

Q: In traveling a distance of 3km between points A and a car is driven at 100kph from A to B for t…

Q: A disk rotates about its central axis starting from rest and accelerates with constant angular…

A: Note: As per the guideline the solution of only the first 3 subparts is provided. Angular…

Q: The 55-kg crate shown in the figure rests on a horizontal surface for which the coefficient of…

Q: The velocity flow field in a steady non uniform flow is represented by the following equation.…

Q: A Circular Roadway and the Acceleration of Your Car "T (decreasing) (a) Constant angular speed (b)…

Q: Q14. An object with an initial velocity of 5 m/s moves in a straight line under a constant…

Q: The diameters of pipe are changed from 35 cm to 20 cm as shown in figure, the pipe length is 100 cm.…

Q: An inclined plane has a slope of 30.0 degrees. An object with a mass of 50O N is sitting on the…

A: Given: The slope is 30o. The weight of the object is 500 N. The coefficient of friction is 0.15. The…

Q: A vehicle is moving on a road oT slope +4% at a speed of 20 m/s. Consider the coefficient of rolling…

A: Given data:- Slope of road or gradient of road=+4% Velocity,V=20m/s Coefficient of friction 0.46…

Q: Knowing that the coefficient of static friction between the tires and the road is 0.80 for the…

Q: The v-t graph of a car while traveling along a road is shown. Determine the acceleration when t =…

A: We have to find the acceleration and distance at different time intervals

Q: 4. From a speed of 75 kph, a car decelerates at the rate of 500 m/min? along a straight path. a How…

A: The answer is found to be Distance travelled=796.875 m Final velocity =52.5 kph For explanation…

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

A: Solution: Given: a = 6 cm/sec2 s = 72 cm t = 12 sec

Q: A car is travelling along a straight horizontal road with a constant acceleration of 0.75 m/s. The…

Q: The diameters of pipe are changed from 35 em to 20 cm as shown in figure, the pipe length is 100 cm.…

A: Diameter at 1 = d1 = 35cm Diameter at 2 = d2 = 20cm Length of the pipe = L = 100cm Discharge at…

Q: Determine the braking distance (in meters) needed to reduce the speed of a bus moving uphill along…

A: initial speed=80 kmph=22.222 m/sfinal speed=40 kmph=11.111 m/sso deaceleration rate is 3…

Q: The car travels in a straight line with the acceleration described by the a-s graph.If it starts…

Q: At an amusement park there are 200-kg bumper cars A, B, and C that have riders with masses of 40 kg,…

A: Consider the mass of car and its rider as a single particle. Use law of conservation of momentum…

Q: A car travels at initial velocity of 11 m/min the first minute and accelerate at the rate of (a = 2…

Q: The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as…

A: Using very basic equation of motion:v2=u2+2aswhere,v= final speedu=initial speeds=distance…

Q: PROBLEM 2 A car is travelling at a speed of 8m/s when the brakes are suddenly applied, causing a…

Q: A vehicle is moving on a highway with a speed of 120kmph and has a projection area of 2.6m2. Take…

A: Given: Speed of vehicle, V = 120 km/h Projection area, A = 2.6 m2 Mass density of air, ρ = 1.2 kg/m3…

Q: An automobile travels along a along straight line. Its velocity increases uniformly from 15 m/s to…

A: Find acceleration,a=?

Q: From the figure shown, an at-rest open railcar is used to transport water up the 20° incline where…

Q: A car starts from rest, and accelerates at a uniform rate to a velocity of 40 m/s in 15 secs. If the…

Q: 1. A particle traveling in a straight line starts from rest it has an acceleration of a=B³t2+ct, if…

A: Step 1

Q: A 2000 kg car is traveling along a curved road, r = (50e") m, while being tracked by a camera. The…

A: Whenever any body moves along a curved path it is acted by centrifugal force, which acts along…

Q: Initially, the car travels along a straight road with a speed of 29 m/s. If the brakes are applied…

Q: If the car passes point A with a speed of 20 m/s and begins to increase its speed at a constant rate…

A: Given, Speed of car when passing the point A = 20 m/s Then after, it slowly begins its speed at a…

Q: The particle travels along the path defined by the parabola y = 0.5x2. If the component of velocity…

Q: Determine the smallest radius that should be used for a highway if the normal component of the…

A: Hello dear this is the solution of your problem The answer is found to be Radius of given highway…

Q: In a highway intersection as shown, car A is decelerating at a rate of 2 m/s² while travelling at a…

A: Relative velocity is the vector difference of the velocities of two objects. It describes the…

Q: Calculate the braking distance in meters, of a car traversing a highway at a speed equivalent to 52…

Q: An electric car is subjected to acceleration tests along a straight and level test track. The…

A: Given :

Q: Initially, the car travels along a straight road with a speed of 32 m/s. If the brakes are applied…

Q: A small particle P starts from point O with a negligible speed and increases its speed to a value v…

Q: At a given instant the jet plane has speed of 400 fps and an acceleration of 70 fps? acting in the…

A: Given speed =400 fps acceleration = 70 fps2 θ =600 Rate of increase in plane speed =? The radius of…

Q: H/W: A military aircraft with 8000 kg mass lands at 350 km/h. The pilot deploys a braking parachute…

Q: A car is traveling around a circular track of 660-ft radius. If the magnitude of its total…

Q: A car travelling at 130 kph locks up its wheel and skids up 3% incline before crashing into a…

A: Given Data: initial speed Vo=130 kmph Gradient G=3% Skid marks up to pedestal Sk= 90 m f=0.35

Q: An outdoor track is 126 meters in diameter. A runner increases her speed at a constant rate from 4.2…

A: Given: v1 =4.2 m/s, v2 = 7.2 m/s and d = 126m, S12 = 28.5m Determine the total acceleration after 2…

Q: A particle traveling in a straight line starts from rest it has an acceleration of a=B^3t^2+ct, if…

A: Given- a=B3+t2+ctB=8m/s4C=-2m/s3t=3sec

Q: A small particle P starts from point O with a negligible speed and increases its speed to a value v…

A: Given: v=2gy and y=x182 ft

Q: A particle moves along the curve y = x - (x/400), where x and y are in ft. If the velocity component…

Q: A car moves with initial velocity of 2 m/s and it is accelerating at rate of 4 m/s2. Find the final…

Q: A particle moves on a circular path of radius 2.5 m, compute the normal acceleration if the angular…

A: Given data A particle moves in a circular motion. Radius of circular path(R) = 2.5 m Angular speed…

Q: A vehicle is moving on a road oY grade +4% at a speed of 20 m/s. Consider the coefficient of rolling…

Concept explainers

Intersection Design

An intersection is a location where two or more roads or railways meet or join. The traffic movement is controlled at the intersection that depends on its design and type. It governs the operation, efficiency, speed, capacity, and safety of the highways, airways, and railways. The movement of the pedestrian causes hazards and delays at the intersection.

Question

2. A particle moves on a circular path of 20 ft radius so that its arc distance from a
fixed point on the path is given by s = 413– 10t where s in ft and t is in sec. Compute
the total acceleration at the end of 2 sec.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The motion of a particle along a straight line is defined by s=⅓t³+6t² feet. Find the average acceleration during the fourth second and when the particle reverses its direction, what is its acceleration? In addition, what is the Velocity during the fourth second.
DYNAMICS OF RIGID BODIES PROBLEM: A particle moves counterclockwise on a circular path of 400ft radius. It starts from a position, which is horizontally to the right of the center of the path and moves so that s-10t² + 20t where s is the arc distance in feet and t is in seconds. Compute the horizontal and vertical components of acceleration at the end of 5sec.
The rectangular components of acceleration for a particle are ax=3t and ay=30-10t where a is in fps². If the particle starts from rest at the origin, find the radius of curvature of the path at t=2sec
An Auto starts from rest and comes to a stop ½ mile away. If its acceleration and deceleration are limited to 30fps and 20fps respectively, what maximum speed does it reach if the elapsed time is to be as small as possible? In addition, what is the displacement when it reach the maximum speed?
As shown in Figure 1 of the ski ramp, you need to make sure that theskier lands safe once they jump from the ski ramp. Given that ramp A has an angle(theta)A = 25° with the horizontal. (a) Calculate the initial speed, VA if the skier lands on the ground at point B.
The car is traveling at a constant speed through a dip in the road. The radius of curvature of the road at point A, the bottom of the dip is 471m. What speed of the car (kph) would result in an acceleration of magnitude 0.2g when the car is at A? use 3 decimal places
Determine the smallest radius that should be used for a highway if the normal component ofthe acceleration of a car traveling at 72 km/h is not to exceed 0.9 m/s2
Jackson Avery is a big fan of skiing. The figure shows one of his jumps in which the path can be treated as a projectile. If he leaves the ramp A at an angle of θ = 24°, determine the velocity (m/s) at which he strikes the ground at B. Use h = 2 m. and L = 109 m.
The position of a particle in millimeters is given by s = 18 - 11t + t2 where t is in seconds. Plot the s-t and v-t relationships for the first 9 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration?
The 250000-lb space-shuttle orbiter touches down at about 231 mi/hr. At 195 mi/hr its drag parachute deploys. At 40 mi/hr, the chute is jettisoned from the orbiter. If the deceleration in feet per second squared during the time that the chute is deployed is -0.00031v2 (speed v in feet per second), determine the corresponding distance s traveled by the orbiter. Assume no braking from its wheel brakes.
a car starts from rest and travels 10 sec. with an acceleration of a=4-0.3t, then runs for 30 seconds at constant velocity and finally comes to rest by decelerating at 3.125 m per sq. s Determine the velocity of the car after 10 seconds. A. 20 m/s B. 25 m/s C. 30 m/s D. 35 m/s E. none of the above point Determine the distance travelled by the car during the period of 10 seconds. A. 120m B. 150m C. 170m D. 182m E. None of the above Determine the total distance travelled by the car until it stop A. 950m B. 1000m C. 1050m D. 1100m E. None of the above
A particle traveling in a straight line starts from rest it has an acceleration of a=B^3t^2+ct, if B=8m/s^4 and c=-2m/s^3, Find the velocity and total distance traveled at t=3sec