1. Abigail tosses her ex-boyfriends ring off a bridge into the stream below. The height in feet of the ring is above the water is modeled by the function H(t) = -16t2 +96t + 112 where t is the time in seconds. a. What is the maximum height the ring reaches? b. How long does it take for the ring to reach its maximum height? c. How long was the ring in the air? d. How high was the bridge that the ring was thrown from? e. How high was the ring after 2 seconds?

1. Abigail tosses her ex-boyfriends ring off a bridge into the stream below. The height in feet of the ring is above the water is modeled by the function H(t) = -16t2 +96t + 112 where t is the time in seconds. a. What is the maximum height the ring reaches? b. How long does it take for the ring to reach its maximum height? c. How long was the ring in the air? d. How high was the bridge that the ring was thrown from? e. How high was the ring after 2 seconds?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 25PQ: During a thunderstorm, a frightened child is soothed by learning to estimate the distance to a...

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(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, geologists compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
A man drops a rock into a well. (a) The man hears the sound of the splash 2.40 s after he releases the rock from rest. The speed of sound in air (at the ambient temperature) is 336 m/s. How far below the top of the well is the surface of the water? (b) What If? If the travel time for the sound is ignored, what percentage error is introduced when the depth of the well is calculated?
On February 15, 2013, a superbolide meteor (brighter than the Sun) entered Earth’s atmosphere over Chelyabinsk, Russia, and exploded at an altitude of 23.5 km. Eyewitnesses could feel the intense heat from the fireball, and the blast wave from the explosion blew out windows in buildings. The blast wave took approximately 2 minutes 30 seconds to reach ground level. (a) What was the average velocity of the blast wave? b) Compare this with the speed of sound, which is 343 m/s at sea level.
Light travels at a speed of about 3 103 m/s. (a) How many miles down a pulse of light travel in a time interval of 0.1 s, which is about the blink of an eye? (b) Compare this distance to the diameter of Earth.
During a thunderstorm, a frightened child is soothed by learning to estimate the distance to a lightning strike by counting the time between seeing the lightning and hearing the thunder (Fig. P2.25). The speed vs of sound in air depends on the air temperature, but assume the value is 343 m/s. The speed of light c is 3.00 108 m/s. a. A child sees the lightning and then counts to eight slowly before hearing the thunder. Assume the light travel time is negligible. Estimate the distance to the lightning strike. b. Using your estimate in part (a), find the light travel time. Is it fair to neglect the light travel time? c. Think about how time was measured in this problem. Is it fair to neglect the difference between the speed of sound in cold air (vs at 0C = 331.4 m/s) and the speed of sound in very warm air (vs at 40C = 355.4 m/s)?
Trying to determine its depth, a rock climber drops a pebble into a chasm and hears the pebble strike the ground 3.74 seconds later. (A) If the speed of sound in air is 343 m/s at the rock climbers location, what is the depth of the chasm? (B) What is the percentage of error that would result from assuming the speed of sound is infinite?
You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.6 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 m/s. (a) Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D. (b) Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D. (c) Use the difference in these two times to write an equation for the distance to the train. (d) For the given information find the distance to the train in meters.
part a=17 m/s b?
(a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the distance to the epicenter of the quake, they compare the arrival times of S- and P-waves, which travel at different speeds. If S- and P-waves travel at 4.00 and 7.20 km/s, respectively, in the region considered, how precisely can the distance to the source of the earthquake be determined? (b) Seismic waves from underground detonations of nuclear bombs can be used to locate the test site and detect violations of test bans. Discuss whether your answer to (a) implies a serious limit to such detection. (Note also that the uncertainty is greater if there is an uncertainty in the propagation speeds of the S- and P-waves.)
(d) A signal is transmitted from a ship and an echo is received from an object below the ship 4s later. Calculate the distance of the object from the ship if the speed of sound in water is1400 m/s.
A ball is dropped down a well and 5 seconds later, the sounds of the splash are heard. if the velocity of sound is 330m/sec. a) What is the depth of the well? b) What is the time for the ball to reach the water surface? c) What is the time for the sound to travel the distance equal to the depth of the well.
Set the canon to fire upwards at 10 m/s. a. How much time does it take to reach its peak? b. How much time does it take to come back to the ground (total time of flight)?