A car is to be hoisted by elevator to the fourth floor of a parking garage, which is at a heigh above the ground. If the elevator can accelerate at a, decelerate at a, and reach a max imum speed v, determine the shortest time to make the lift, starting from rest and ending at rest.

A car is to be hoisted by elevator to the fourth floor of a parking garage, which is at a heigh above the ground. If the elevator can accelerate at a, decelerate at a, and reach a max imum speed v, determine the shortest time to make the lift, starting from rest and ending at rest.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.16P: A particle is projected with an initial velocity 0 up a slope that makes an angle with the...

See similar textbooks

Related questions

Q: Consider a particle moving according to r (t) =, with t 20. Calculate the velocity and acceleration…

A: The rate of change of position is called velocity. The rate of change of velocity is called…

Q: arefully then answer on the space provided. Wri nswer. onstant velocity of 15 m/s passes a gasoline…

Q: A train accelerates from rest at constant rate a for distance s, and time t,. After that it retards…

A: For the accelerated motion, v2-u2=2αx1v2=2αx1 At the end of first t1s, if it gains velocity v,…

Q: In a one-dimensional motion, if the speed vs. time dependence is v(t)=2At, where v is in m/s, and t…

Q: A mortar-style fireworks shell must be detonated at a height of 100m. a) If the shell is to…

A: Write a given value of this question. h=100m

Q: A motorcycle starts from rest at point A and travels 300m along a straight horizontal track to point…

A: The equation of motions are v = u + a t s = ut + 0.5 at2v2 =u2 + 2 a s where, u is the initial…

Q: Pbm 6),A train is travelling from A to D along the track shown in fig. its initial velocity at A is…

A: Solution:-Given that distance AB =2250 m taken time t1= 5min…

Q: A projectile is fired from 3 meters height above level ground with an initial velocity equals to 20…

A: The position of the particle with respect to time is given as : r(t)=rcos(wt)i^+rsin(wt)j^ The…

Q: A student see's her physical professor approaching on the side walk that runs by her dorm , She gets…

Q: A car moves with uniform acceleration on a road for n seconds covering distance d having initial…

Q: Assume that an intercontinental ballistic missile goes fromrest to a suborbital speed of 6.50 km/s…

A: The expression for the equation of the motion,

Q: give the positions s = ƒ(t) of a body moving on a coordinateline, with s in meters and t in…

A: The function of the position of a moving body is given as, The time interval is given as,

Q: An athlete swims the length L of a pool in a time t1 andmakes the return trip to the starting…

A: Average velocity = displacement/timeVelocity is vector and speed is scalarTaking +x axis as +ve…

Q: Along a straight road, two cars are found exactly next to ea s shown below, at that moment, one car…

A: We know that the two cars are found exactly next to each other at a specific instance in time. one…

Q: A plane starting at rest at one end of the runway undergoes a uniform acceleration of 4.8m/s2 for…

A: Given , initial speed=Vt=0 Rest acceleration = a= 4.8 m/s2 Time = t= 15 seconds

Q: When the limit of time approaches zero, velocity can be written as Ax V = Az dx dt Ax O Vav At

A: The average velocity is defined as the displacement divided by the time taken. Here elapsed time is…

Q: A locomotive is traveling on the straight and level track with a speed v = 90 km/h and a…

A: Given- Speed v =90 km/h =90×100060×60=25 m/s Deceleration a = 0.5 m/s2 To find the quantities r˙,…

Q: A hockey player is standing on his skates on a frozen pondwhen an opposing player, moving with a…

A: Write the expression for the position of the opponent

Q: Collars A and B slide along the fixed right-angle rods and are connected by a cord of length L.…

A: The diagram is given . Collar A is given constant upward velocity vA . To find = Acceleration of…

Q: If the differentiation of velocity with respect to time is the instantaneous acceleration as time…

Q: An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if…

A: The maximum horizontal distance astronaut can jump is R=v02sin2θg Rearrange in terms of g…

Q: A body moves on a coordinate line such that it has a position s=f(t)=t2−8t+7 on the interval…

A: Position of the body changes with respect to time according to the equation; s=t2-8t+7 on the…

Q: The function s = -t° +9t-27t, 0sts5, gives the position of a body moving on a coordinate line, with…

Q: A rescue helicopter is hovering over a person whose boathas sunk. One of the rescuers throws a life…

Q: Suppose (unrealistically) the velocity of the skydiver is 80 m/s, for 0 ≤ t ≤20,and then it changes…

A: Let's draw this using the graph.

Q: A body in 1D motion is moving left at speed 2.4 m/s at one moment, and 9 seconds later is moving…

A: Initial speed, u=+2.4m/s Final speed, v=-4.2m/s Time interval, t=9s Let acceleration be a.

Q: You throw a ball straight up from a rooftop 160 feet high with an initial velocity of 48 feet per…

A: For the ball we have, v0 = 48 ft/s s0 = 160 ft On substituting these values in the given equation,…

Q: A particle is accelerating uniformly along a straight line ABCD. It travels successive distances AB…

Q: Suppose a car is traveling at +19.9 m/s, and the driver sees a traffic light turn red. After 0.269 s…

Q: Suppose a car is traveling at +24.1 m/s, and the driver sees a traffic light turn red. After 0.405 s…

A: The distance traveled during the reaction time can be obtained as

Q: Suppose a car is traveling at +24.3 m/s, and the driver sees a traffic light turn red. After 0.219 s…

A: Given: Speed of the car (v) = 24.3 m/s. reaction time (tr) = 0.219 s. Deceleration (a) = 4.0 m/s2.

Q: An object falls a distance h from rest. If it travels 0.410h in the last 1.00 s, find (a) the time…

Q: TRAIN PROBLEMS S=D TYPE 9, T&D FORMULAI t A train (s 20dom long rins at 50m/s. Find t?

A: Given data : Distance = D Speed = S…

Q: A motorist is travelling at 20C He is 60m from a traffic light vhen he sees turn yellow. His ion…

A: The equation we are using is Vf² = vi² +2as And v= x/t Given ...xf = 60 m vi= 20 m/s t = 0.5…

Q: Playing jackstone as a kid, you discovered that there is a certain time before the rubber ball falls…

A: For speed at height B cm By , V^2=U^2+2as V^2 = A^2 + 2(-10)B ×10^-2 V = √(A^2 - 0.2B)…

Q: A river has a steady speed of 0.500 m/s. A student swimsupstream a distance of 1.00 km and swims…

Q: A hiker walks 2.00 km north and then 3.00 km east, all in2.50 hours. Calculate the magnitude and…

A: Take the north direction to be +y direction and east direction to be +x direction.

Q: A car can be braked to a stop from the autobahn-likespeed of 200 km/h in 170 m. Assuming the…

Q: given by 4v. How long will take the ball to reach the ground? What will b its velocity at that time?

Q: A frictionless toy car is placed on a ramp, which is inclined at an unknown angle ? with respect to…

Q: Why I can't use the formula V = U + at When acceleration is changing with time.

A: Given the first equation of motion: v= u+ at Acceleration is the rate of change in the velocity of…

Q: A particle moves along the x-axis with its position at time tgiven by r (t) = (t - a) (t – b) where…

A: Required : For what values of t is the particle at rest.

Q: The speed of the Space X Falcon 9 rocket is reaches roughly 2300 m/s by the time it reaches an…

A: In this question we have to find the time taken to travel 60 km. Please give positive feedback if…

Q: How long does it take an automobile traveling in the left lane of a highway at 60.0 km/h to overtake…

Q: - An object that is initially traveling with a velocity of 20.0 m/s i is subject to a constant…

Q: Let's say that during a thunderstorm you measure the time lag between the flash and the thunderclap…

A: Speed is defined as the distance covered by a moving object per unit time . i.e. Speed = Distance /…

Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

Q18

Problem 12–18
A car is to be hoisted by elevator to the fourth floor of a parking garage, which is at a height h
above the ground. If the elevator can accelerate at a,, decelerate at az, and reach a max imum
speed v, determine the shortest time to make the lift, starting from rest and ending at rest.
m
h = 16 m
aj = 0.2
az = 0.1
2
v = 2.7
Given:
S
Solution:
Assume that the elevator never reaches its maximum speed.
m
tj = 1 s
12 = 2 s
hị = 1 m
Guesses
Vmax = 1
Given
Vmax = ajti
1
2
0 = vmax - at2 - t)
h = hj + Vualt2 - 1) - ;az(t2 - 4)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

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

Similar questions

The current world-record motorcycle jump is 77.0 m,set by Jason Renie. Assume that he left the take-off ramp at12.0o to the horizontal and that the take-off and landingheights are the same. Neglecting air drag, determine his take-offspeed.
A small object begins a free fall from a height of 29.0 m. After 1.10 s, a second small object is launched vertically upward from the ground with an initial velocity if 37.0 m/s. At what height h above the ground will the two objects first meet? Asked to use the equation y=y0+v0yt--1/2gt^2 and assume gravity as I believe 9.8 m/s^2
A space explorer lands on a certain planet and does an experiment to measure the local gravity. She launches an object straight upward and observes that it takes a total time T to return to the launch point and attains a maximum height h above the launch point. Derive an expression forthe value of g on this planet in terms of h and T and any appropriate constants.
(II) If the speed of a car is increased by 50%, by what factorwill its minimum braking distance be increased, assumingall else is the same? Ignore the driver’s reaction time.
A mass m is suspended from the ceiling of an elevator by aspring of force constant k. When the elevator is at rest, the periodof the mass is T. Does the period increase, decrease, or remain thesame when the elevator (a) moves upward with constant speed or(b) moves upward with constant acceleration?
To check the radius of a railroad curve, the effect of a 40-N weight is observed to be 41.400N on a spring scale suspended from the roof of an experimental car rounding the curve at 64kph. Find the radius of the curve.
A motorcycle daredevil plans to ride up a 2.00 m high 26.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as starts up the ramp. He is going 14.9 m/s at that instant, and the rolling friction of his rubber tires is not negligible. Assuming that the local acceleration due to gravity is -9.80 m/s2, calculate the landing point (in m) relative to the 10.0 m edge of the pool. (-1.0 m means he was 1.0 m short and in the pool, +1.0 m means he landed 1.0 m past the edge). The coefficient of rolling friction for rubber on ramp is 0.02.
A particle is projected with an initial velocity 0 up a slope that makes an angle with the horizontal. Assume frictionless motion and find the time required for the particle to return to its starting position. Find the time for 0 = 2.4 m/s and = 26.
a block of mass M released from height h,friction coefficient k down on an inclined planeit is moving. The speed at which an object of mass M will have height h / 3Find the statement that gives.
If mass m were doubled, would the speed at B increase, decrease, or remain the same? Explain.
A ball of mass m = 1.6 kg hangs by a thread from the roof of an elevator. Thethread can withstand only a tension force of 20 N. When the system acceleratesupwards, see Fig. 5.43, the thread breaks. Within what range is the elevatoraccelerating?
A horizontal force of of 300 N is required to maintain constant velocity of a vehicle on the level, and force of 1100 N gives it a speed of 6.0 m/s in a time of 5.0 m/s from rest. What force is required for half the speed in double the time, assuming constant resistance?