Concept explainers
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
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 0°C = 331.4 m/s) and the speed of sound in very warm air (vs at 40°C = 355.4 m/s)?
Trending nowThis is a popular solution!
Chapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity Vx as a function of time is given by: Vx(t) = at - Bt3, where a = 6.8 m/s2 and B = 4.0 m/s4 I. At what nonzero time t is the object again at x = 0? (Express your answer with the appropriate units.) II. At t = 1.8 s, what is the x-component of the velocity of the object? (Express your answer with the appropriate units.) III. At t = 1.8 s, what is the x-component of the acceleration of the object? (Express your answer with the appropriate units.)arrow_forwardThe position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 sarrow_forwardThe position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 s.(a).=-176m(b).=-184m/s (c).=-118.0m/s^2 (d).=9.041m (e).=1.444s (f).=9.389m/s (g).=0.722sPlease help me with h and i.arrow_forward
- An object's position in the as a function of time obeys the equation; x(t) = 14.2/t2.17 + 5.1t3 where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.93 seconds?arrow_forwardAn object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity Vx as a function of time is given by: Vx(t) = at - Bt3, where a = 6.8 m/s2 and B = 4.0 m/s4 I. At t = 1.8 s, what is the x-component of the velocity of the object? (Express your answer with the appropriate units.) II. At t = 1.8 s, what is the x-component of the acceleration of the object? (Express your answer with the appropriate units.)arrow_forwardFor a short time, the speed v of a car, in m / s, is given by v = at2 + bt3, where t is the time in seconds. The units of a and b are, respectively, a) m/s^2; m/s^3 b) m/s^4; m/s^5 c) s^3/m; s^4/m d) m.s^2; m.s^4 e) m/s^3; m/s^4arrow_forward
- An inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.06 m/s. (c) What is the speed of each stone at the instant the two stones hit the water?arrow_forwardHello, I had a physics question. "Just as the traffic light changes to green, a Mustang drives through the intersection at a constant velocity of 14.2 m/s [N]. A Camaro that was stopped at the light accelerates from rest at 2.9 m/s^2 [N]. How much time passes before the two cars meet again? How far have they travelled? I figured out how to do the question but I'm really confused on the units of the distance. I used the d = v/t formula and the vit + 1/2at^2 formula but the units I ended up getting were m^2/s^3 for distance when it should just be m.arrow_forwardA fly is buzzing through the air at 0.1 m/d when a gust of wind comes and gives it an acceleration of 0.2 m/s^2 for 4.7 seconds. How far has the fly traveled during this time frame, being blown forward?arrow_forward
- You drop a stone down a well that is 9.5 m deep. How long is it before you hear the splash? The speed of sound in air is 343 m/s and air resistance is negligible. A) 1.4 s B) 1.6 s C) 1.3 s D) 1.2 s E) 1.5 sarrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 22.0 m/s. The cliff is h = 37.0 m above a flat, horizontal beach as shown in the figure.(d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x = y = (e) How long after being released does the stone strike the beach below the cliff? s(f) With what speed and angle of impact does the stone land? vf = m/s ? = ° below the horizontalarrow_forwardAn object's position in the x-direction as a function of time is given by the expression; x(t) = 5t2 + 2t where are quantities have proper SI Units. What is the object's average velocity in the x-direction between the times t = 1.35 s and t = 2.3 s. Just enter the number rounded to 3 significant figures and assume it has proper SI Units.arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning