Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 2, Problem 51P
To determine
The average velocity in given time intervals.
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I am having trouble with an average speed problem. The problem states that a person walks at 4.5 meters per second from point a to b. Then walks back from point b to a at a speed of 3.2 m/s. I know that average speed is displacement/time. However I am not sure how to calculate time or displacement from the two givens. The problem also gives that the average velocity is 0.
A car is moving along a straight line defined to be the positive x direction. It's velocity is measured and found to be a function of time given by v_x(t)=at^2 where a is a known constant. The car was at the point x=A at the time t=2s. Find the cars position as a function of timr. How fast would the car be going just before it hits a wall located at x=L?
The position of a particle along a straight-line path is defined by s = (t3 - 6t2 - 15t + 7) ft, where t is in seconds.
Determine:
(a) the total distance traveled when t = 15s
(b) What are the particle’s average velocity, average speed, and the instantaneous velocity and acceleration at this time?
Chapter 2 Solutions
Physics for Scientists and Engineers
Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10P
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- Diego runs back and forth along a straight track. During the time interval 0arrow_forwarda) Calculate the height (in m) of a cliff if it takes 2.33 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.20 m/s. b) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed?arrow_forwardA particle moves along the x axis. Its x coordinate varies with time according to the expression x = 3t° – 2t +5, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the time intervals t=1s to t=3s. b) Calculate the average velocity in the time intervals t=1s to t=3s. c) Find the instantaneous velocity of the particle at t=2.5s. d) Calculate the average acceleration in the time intervals t=1s to t=3s. e) Find the instantaneous acceleration of the particle at t=2.5s.arrow_forwardProblem 3: As a train accelerates uniformly it passes successive kilometer marks while traveling at velocities of 2m/s and then 10m/s. Determine the train's velocity when it passes the next kilometer mark and the time it takes to travel the 2-km distancearrow_forwardOn 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.arrow_forwardAn object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s square before it's final velocity is equal to twice it's initial velocity?arrow_forwardAn object attains a velocity of 5m per second by moving in a straight line with an acceleration which varies uniformly from zero to 2.4m/s^2 in 6 sec. Compute its initial velocity and the change in displacement during the 6 sec interval. Solve by using motions curves and calculus.arrow_forwardNow let’s apply our definition of average velocity to a swimming competition. During one heat of a swim meet, a swimmer performs the crawl stroke in a pool 50.0 mm long, as shown in (Figure 1). She swims a length at racing speed, taking 24.0 ss to cover the length of the pool. She then takes twice that time to swim casually back to her starting point. Find (a) her average velocity for each length and (b) her average velocity for the entire swim. c) If the swimmer could cross a 15 kmkm channel maintaining the same average velocity as for the first 50 mm in the pool, how long would it take?arrow_forwardA juggler throws a bowling pin straight up with an initial speed of 6.1 m/s from an initial height of 2.8 m. How much time elapses until the bowling pin returns to the same initial height? Answer without rounding offarrow_forwardA physics teacher walks 5 km East, 2.5 km South, 5 km West, and finally 2.5 km North. The entire motion lasted for 3 hours. Determine the average speed and the average velocity.arrow_forwardA drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 8 steps forward and 5 steps backward, and so on. Each step is 1 m long and requires 1s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 15 m away from the start.arrow_forwardA person walks first at a constant speed of 5.50 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3. What is her average speed over the entire trip. (In m/s)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY