Driving down the road at a speed of 26.1 m/s, you suddenly notice a fallen tree blocking the road a distance of 86.7 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 8.0 m in front of the tree? 1 4.33 m/s^2 2 3.93 m/s^2 3 3.60 m/s^2 4 8.66 m/s^2

Driving down the road at a speed of 26.1 m/s, you suddenly notice a fallen tree blocking the road a distance of 86.7 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 8.0 m in front of the tree? 1 4.33 m/s^2 2 3.93 m/s^2 3 3.60 m/s^2 4 8.66 m/s^2

Name: Driving down the road at a speed of 26.1 m/s, yousuddenly notice a fa
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: Driving down the road at a speed of 26.1 m/s, yousuddenly notice a fallen tree blocking the road a distanceof 86.7 m ahead of you. You step on the brake pedal anddecelerate at a constant rate. What must the magnitude ofacceleration be so that you wi

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: A rocket-powered sled moves along a track, eventually reaching a top speed of 192 m/s to the west.…

A: Apply the first kinematic equation. Here, v represents the final velocity, u represents the initial…

Q: The position of a particle moving along the x axis may be determined from the expression x(t) = bt +…

A: Given data The position of the particle is x (t) = bt + ct2 The constant b = 3.20 m/s The constant c…

Q: you are driving your car along a country road ar a speed of 23.8m/s. As you come over the crest of a…

Q: If the car’s speed decreases at a constant rate from 70 mi/hmi/h to 40 mi/hmi/h in 3.0 ss, what is…

Q: An object is initially at rest and accelerates at a rate of 3.50 m/s² in the positive x-direction.…

A: The time required by the object to move 50 m from the initial position is 5.34 s

Q: A person who walks for exercise produces the position-time graph shown. Calculate the average…

A: Since the person is travelling in the positive x-direction along A with time, A indicates positive…

Q: A particle moving in 1D has time-dependent velocity which is given by the quadratic function v(t) =…

A: a. the acceleration of the particle is

Q: A stone is dropped from rest from the top of a high rise. It takes t=3.4s for it to reach the…

A: The displacement is Y Acceleration is a Time period T Initial velocity Vi The expression of…

Q: At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial…

A: Given: Particle's initial position at time t=0 s is given as x=4 m and y=1 m. Particle's initial…

Q: A car starts from rest, then accelerates at a constant rate over a distance of 96 m. It then…

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 212 m/s to the west.…

Q: According to their website, a single Wawa Italian Hoagie contains 450 food calories. Refer to…

A: It is given that,

Q: Driving down the road at a speed of 30.1 m/s, you suddenly notice a fallen tree blocking the road a…

A: Given in question - Speed(v) = 30.1 m/s Distance(D) = 78.5m Distance before tree(d) = 7.1 m To find…

Q: The position of a particle moving along the x-axis is given by x = 6.0t^2 -1.0t^3, where x is in…

A: Speed of the particle v is,

Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

Q: rts from rest, then accelerates at a constant rate over a distance of 73 m. It then immediately…

A: We know that the car starts from rest and accelerates with an acceleration of a m/s2. and travel a…

Q: The position of a particle moving along the x axis is given by x(t) = 2.8t2 - 3.5t3, where x is in…

Q: A rock is thrown straight downward from a tree limb with an initial velocity v0. The rock has…

Q: A ball is thrown upward with an initial velocity of 25.0 m/s at time t = 0.0 s, from a roof 50 m…

A: Height, H =50 m initial velocity, u = 25 m/s

Q: A dog running in an open field has components of velocity Vx = 2.6 m/s and Vy = -1.8 m/s at t1 =…

Q: Two soccer players start from rest, 28 m apart. They run directly toward each other, both players…

Q: The figure shows the velocity of a particle as it travels along the x-axis. What is the directi…

Q: A rocket is launched from the origin with an acceleration of 20.0 m/s2 at an angle of 30.0 degrees…

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: A rock is kicked with an initial horizontal velocity of 10.0 m/s in the positive x direction from…

Q: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows…

A: Given:- The driver of a car slams on the brakes when he sees a tree blocking the road. The car…

Q: An object starts at rest. It accelerates in the +x direction at 6.6m/s^2 for 5.2 sec. How far does…

A: Given: Initial velocity (u) = 0 ......(object is at rest) Acceleration (a) = 6.6 m/s2 Time (t) = 5.2…

Q: A rocket-powered sled moves along a track, eventually reaching a top speed of 230 m/s to the west.…

A: The average acceleration is given as a=(v-u)/t where v is the final velocity and u is the initial…

Q: 5, Shaudia drives her car east for 35.0 minutes at 80.0 km/h and then stops for 15.0 minutes. She…

Q: A driver is traveling 18.0 m/s when she sees a red light ahead. Her car is capable of decelerating…

A: Given u=18m/s (initial velocity of car) t1=0.380 s (time for driver to hit the brakes) Distance…

Q: As an airplane is taking off at an airport its position is closely monitored by radar. The following…

Q: The figure shows the velocity of an object as it travels along the x-axis. What is the closest value…

Q: A particle moves along the +ve direction of x-axis. Its position x depends on time t as…

A: Given:Position of particle (x)=at3+bt2+c+d

Q: A cheetah is crouched 20 m to the east of a vehicle . Attime t = 0 the cheetah begins to run due…

A: Velocity is assigned to an object in motion, and it is a vector quantity whose magnitude is the rate…

Q: Two soccer players start from rest, 47 m apart. They run directly toward each other, both players…

Q: As an airplane is taking off at an airport its position is closely monitored by radar. The following…

A: Given data, Position x1=454.85 m at 5.5 s x2=527.6 m at 6 s x3=605.85 s at 6.5 s

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

Driving down the road at a speed of 26.1 m/s, you
suddenly notice a fallen tree blocking the road a distance
of 86.7 m ahead of you. You step on the brake pedal and
decelerate at a constant rate. What must the magnitude of
acceleration be so that you will come to a stop 8.0 m
your
in front of the tree?
1
4.33 m/s^2
3.93 m/s^2
3
3.60 m/s^2
4
8.66 m/s^2

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, physics and related others by exploring similar questions and additional content below.

Similar questions

A wind-up toy car is released from rest. It accelerates up to a maximum speed over the first 2 m it travels before slowing back down to a stop over the next 5 m. If the car travels in the positive direction, what is the direction of its acceleration (a) over the first 2 m and (b) over the last 5 m? (c) Over which distance is the magnitude of the acceleration greater?
A wild horse starts from rest and runs in a straight line 29° north of west. After 33 s of running in this direction, the horse has a speed of 15 m/s.(a) What is the magnitude of the horse's average acceleration? m/s2(b) Assuming that north and east are the positive directions, find the component of the horse's acceleration that points along the north-south line. m/s2(c) Find the component of the horse's acceleration that points along the east-west line. m/s2
A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous acceleration at t = 2 s? 1.4 m/s^2 2.4 m/s^2 3.5 m/s^2 4.2 m/s^2
A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then immediately decelerates at a constant rate over a distance of 152 m. The entire trip lasts a total duration of 27.2 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively? 1. 1.76 m/s^2, then 1.03 m/s^2 2. 3.27 m/s^2, then 5.59 m/s^2 3. 0.65 m/s^2, then 0.65 m/s^2 4. 5.59 m/s^2, then 3.27 m/s^2
A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.92 m/s2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard with a constant acceleration of a2 = -9.3 m/s2. If the limb is on the road at a distance of 550 meters from where the car begins its initial acceleration, will the car hit the limb?
The position of a particle moving along the x axis is given by x(t) = 7t² - 1.7t³, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?
A rocket-powered sled moves along a track, eventually reaching a top speed of 219 m/s to the east. It then begins to slow down, reaching a complete stop after slowing down for 4.98 s. What was the sled s average acceleration and velocity during the slowdown phase? 44.0 m/s^2 east, not enough information 109.5 m/s^2 west, 109.5 m/s west 44.0 m/s^2 west, not enough information 0 m/s^2 0, 109.5 m/s east
Two soccer players start from rest, 39 m apart. They run directly toward each other, both players accelerating. The first player's acceleration has a magnitude of 0.48 m/s². The second player's acceleration has a magnitude of 0.49 m/s². (a) How much time passes before the players collide? (b) At the instant they collide, how far has the first player run? (a) Number M. (b) Number i Units Units ✪
Mature salmon swim upstream, returning to spawn at their birthplace. During the arduous trip they leap vertically upward over waterfalls as high as 3.31 m. With what minimum speed (in m/s) must a salmon launch itself into the air to clear a 3.31-m waterfall? in m/s
A hot-air balloon is drifting in level flight due east at 3.0 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 20 m of altitude in order to clear the top of a hill 130 m to the east. How much time does the pilot have to make the altitude change without crashing into the hill? What minimum, constant, upward acceleration is needed in order to clear the hill?
From the top of a cliff, a person throws a stone straight downward. The initial speed of the stone just after leaving the person's hand is 9.7 m/s. (a) What is the acceleration (magnitude and direction) of the stone while it moves downward, after leaving the person's hand? magnitude m/s2
A helicopter carrying Dr. Evil takes off with a constant upward acceleration of 7.0 m/s2m/s2. Secret agent Austin Powers jumps on just as the helicopter lifts off the ground. After the two men struggle for 11.0 ss, Powers shuts off the engine and steps out of the helicopter. Assume that the helicopter is in free fall after its engine is shut off, and ignore the effects of air resistance. What is the maximum height above ground reached by the helicopter? Powers deploys a jet pack strapped on his back 7.0 ss after leaving the helicopter, and then he has a constant downward acceleration with magnitude 3.0 m/s2m/s2. How far is Powers above the ground when the helicopter crashes into the ground?