COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 2, Problem 62PE
To determine
The proof that the acceleration is approximately
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Check out a sample textbook solutionStudents have asked these similar questions
My question isn't how to solve the problem exactly. In fact, it's already been solved on this website. My question is about the acceleration. When I solve this problem myself, first I calculate the velocity by dividing 100m by 53s. I get 1.89m/s. Then I use that to find the acceleration using the equation vf = vi + at. That's 1.89/53 = 0.036m/s^2.
That's not correct. The correct way to find the acceleration is to us the equation d = 1/2 at^2 and solve that way without taking the intermediate step of finding the velocity. Doing it that way, the acceleration is 0.0712m/s^2.
My question is why you get a different result doing it the first way than you get doing it the second way.
A ball is tossed vertically from the top of a building that is 96 stories tall (approximately 864 ft) with an initial velocity of 30 ft/sec. The initial acceleration is given by a=−32 ft/sec2.
1. Write the velocity equation with t as the variable and v as velocity.
2. Write the displacement equation with t as the variable and s as the displacement.
3. Find the velocity at 2 seconds.
______ ft/s
4. Find the height above the ground at 2 seconds.
______ft
1.4. A train is traveling down a straight track at 20 m/s when the engineer applies the brakes,
resulting in an acceleration of -1.0 m/s as long as the train is in motion. How far does the
train move during a 40-s time interval starting at the instant the brakes is applied?
Chapter 2 Solutions
COLLEGE PHYSICS
Ch. 2 - Give an example in which there are clear...Ch. 2 - Under what circumstances does distance traveled...Ch. 2 - Bacteria move back and f01th by using their...Ch. 2 - A student writes, "A bird that is diving for prey...Ch. 2 - What is the speed of the bird in Exercise 2.4?Ch. 2 - Acceleration is the change in velocity over time....Ch. 2 - A weather forecast states that the temperature is...Ch. 2 - Give an example (but not one from the text) of a...Ch. 2 - There is a distinction between average speed and...Ch. 2 - Does a car's odometer measure position or...
Ch. 2 - If you divide the total distance traveled on a car...Ch. 2 - How are instantaneous velocity and instantaneous...Ch. 2 - Is it possible for speed to be constant while...Ch. 2 - Is it possible for velocity to be constant while...Ch. 2 - Give an example in which velocity is zero yet...Ch. 2 - If a subway train is moving to the left (has a...Ch. 2 - Plus and minus signs are used in one-dimensional...Ch. 2 - What information do you need in order to choose...Ch. 2 - What is the last thing you should do when solving...Ch. 2 - What is the acceleration of a rock thrown straight...Ch. 2 - An object that is thrown straight up falls back to...Ch. 2 - Prob. 22CQCh. 2 - If an object is thrown straight up and air...Ch. 2 - The severity of a fall depends on your speed when...Ch. 2 - How many times higher could an astronaut jump on...Ch. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - A cylinder is given a push and then rolls up an...Ch. 2 - Prob. 1PECh. 2 - Prob. 2PECh. 2 - Prob. 3PECh. 2 - Prob. 4PECh. 2 - (a) Calculate Earth's average speed relative to...Ch. 2 - A helicopter blade spins at exactly 100...Ch. 2 - The North American and European continents are...Ch. 2 - Land west of the San Andreas fault in southern...Ch. 2 - On May 26, 1934, a streamlined, stainless steel...Ch. 2 - Tidal friction is slowing the rotation of the...Ch. 2 - A student drove to the university from her home...Ch. 2 - The speed of propagation of the action potential...Ch. 2 - Conversations with astronauts on the lunar surface...Ch. 2 - A football quarterback runs 15.0 m straight down...Ch. 2 - The planetary model of the atom pictures electrons...Ch. 2 - A cheetah can accelerate from rest to a speed of...Ch. 2 - Professional Application Dr. John Paul Stapp was...Ch. 2 - A commuter backs her car out of her garage with an...Ch. 2 - Assume that an intercontinental ballistic missile...Ch. 2 - An Olympic-class sprinter starts a race with an...Ch. 2 - A well-thrown ball is caught in a well-padded...Ch. 2 - A bullet in a gun is accelerated from the firing...Ch. 2 - (a) A light-rail commuter train accelerates at a...Ch. 2 - While entering a freeway, a car accelerates from...Ch. 2 - At the end of a race, a runner decelerates from a...Ch. 2 - Professional Application: Blood is accelerated...Ch. 2 - In a slap shot, a hockey player accelerates the...Ch. 2 - A powerful motorcycle can accelerate from rest to...Ch. 2 - Freight trains can produce only relatively small...Ch. 2 - A fireworks shell is accelerated from rest to a...Ch. 2 - A swan on a lake gets airborne by flapping its...Ch. 2 - Professional Application: A woodpecker's brain is...Ch. 2 - An unwary football player collides with a padded...Ch. 2 - In World War II, there were several reported cases...Ch. 2 - Consider a grey squirrel falling out of a tree to...Ch. 2 - An express train passes through a station. It...Ch. 2 - Dragsters can actually reach a top speed of 145...Ch. 2 - A bicycle racer sprints at the end of a race to...Ch. 2 - In 1967, New Zealander Burt Munro set the world...Ch. 2 - (a) A world record was set for the men's 100-m...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - Calculate the displacement and velocity at times...Ch. 2 - A basketball referee tosses the ball straight up...Ch. 2 - A rescue helicopter is hovering over a person...Ch. 2 - A dolphin in an aquatic show jumps straight up out...Ch. 2 - A swimmer bounces straight up from a diving board...Ch. 2 - (a) Calculate the height of a cliff if it takes...Ch. 2 - A very strong, but inept, shot putter puts the...Ch. 2 - You throw a ball straight up with an initial...Ch. 2 - A kangaroo can jump over an object 2.50 m high....Ch. 2 - Standing at the base of one of the cliffs of Mt....Ch. 2 - An object is dropped from a height of 75.0 m above...Ch. 2 - There is a 250-m-high cliff at Half Dome in...Ch. 2 - Prob. 54PECh. 2 - Suppose you drop a rock into a dark well and,...Ch. 2 - A steel ball is dropped onto a hard floor from a...Ch. 2 - A coin is dropped from a hot-air balloon that is...Ch. 2 - A soft tennis ball is dropped onto a hard floor...Ch. 2 - Prob. 59PECh. 2 - Prob. 60PECh. 2 - Prob. 61PECh. 2 - Prob. 62PECh. 2 - Prob. 63PECh. 2 - Prob. 64PECh. 2 - Prob. 65PECh. 2 - Prob. 66PECh. 2 - Prob. 1TPCh. 2 - Prob. 2TPCh. 2 - Prob. 3TPCh. 2 - Prob. 4TPCh. 2 - Prob. 5TPCh. 2 - Prob. 6TPCh. 2 - Prob. 7TP
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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 runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km] race? Express your answer in seconds. Ignore the time it takes to reach this speed, and assume the runner is always at this speed.arrow_forwardA car is traveling west at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during a time of 4.00 s. Calculate the magnitude of the car's average acceleration (in m/s2).arrow_forward"A jet plane is cruising at 320 m/sm/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.8 km , the jet is moving with a speed of 400 m/sm/s. What is the jet's acceleration, assuming it to be a constant acceleration? Express your answer to two significant figures and include the appropriate units." I am having issues setting up word problems to begin solving. Need an easier method or technique to help deciper these.arrow_forward
- A golf ball is fired straight up into the air from ground level. It reaches a maximum height at ℎ = 504 meters. The speed of the golf ball in meters per second is 99.41. Calculate the flight time in ttotal in seconds until the golf ball reaches the ground.arrow_forwardI took 2.28km and converted it to 2280 meters then divided by 3200 and ended up with .71m/s but it keeps saying that its incorrect. Im not sure where I keep messing up. John walks 1.80 kmkm north, then turns right and walks 1.40 kmkm east. His speed is 1.60 m/sm/sduring the entire stroll. What is the magnitude of his displacement, from beginning to end? (2.28) If Jane starts at the same time and place as John, but walks in a straight line to the endpoint of John's stroll, at what speed should she walk if she wants to arrive at the endpoint just when John does?arrow_forward2.5arrow_forward
- The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i secarrow_forwards (ft) 6f Given the s-t graph beside, compute for the instantaneous s = t2 + 2 acceleration at t = 1s and t = 2 s. -s = t³ + Veš t(s) 1.23 2 4.arrow_forwardThe displacement of a particle is given by s = 4t3 - 60t² + 100t - 58 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 13 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 1.8 S= i 49.072 ft,v= -77.12 ft/sec, a = -76.8 ft/sec sec, At t = 6.6 S= i 19263.104 ft,v= -169.28 ft/sec, a = 38.4 ft/sec sec, Att = 9.8 S = -1075.632 V = ft/sec,a 115.2 ft/sec sec, The velocity is zero when t = i 217.9795 ft, Mi 10218.304 sec and when t = i 22.0205 secarrow_forward
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