You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.2 seconds before you do through the air. The speed of sound in steel is vs = 6100 m/s, and the air temperature is 21° C. What is the distance, D, of the train in meters?

Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a baseball, a stopwatch, and a friend on the beach below with a long measuring tape. Bob is a pitcher and he knows that the fastest he can throw the ball is about vo = 34.5 m/s. Bob starts the stopwatch as he throws the ball (with no way to measure the ball's initial trajectory), and watches carefully. The ball rises and then falls, and after t₁ = 0.510 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball landed x = 128 m from the base of the cliff. How high up is Bob, if the ball started exactly 2 m above the edge of the cliff? 2 m -- X Bob's position= x10 TOOLS m

Water ripples are produced by making a cork oscillate up and down at a frequency of 8Hz. The peaks of the ripples are0.02 meters apart. What is the speed of the water ripples?    Calculate to one decimal.

The rate of change of altitude in cm/s of a bird is given by a′(t)=650ln(t+3). What is the total change in altitude between t=3 and t=7? Round your answer to the nearest whole number and do not include units.

A traveling wave packet is described by the function y(x, t) = 0.35€ 0.1(x−3.501)², where distance is measured in meters and time in seconds. What is the speed of this wave? i m/s

The sonar unit on a boat is designed to measure the depth of fresh water (p = 1.00 x 103 kg/m³, Bad = 2.20 x 109 Pa). When the boat moves into salt water (p = 1025 kg/m³, Bad = 2.37 x 109 Pa), the sonar unit is no longer calibrated properly. In salt water, the sonar unit indicates the water depth to be 8.87 m. What is the actual depth (in m) of the water? Number i ! Units m

Given u = −7i − 5j and v = −10i − 9j, what is projvu?  a −9.937i − 8.943j  b −6.956i − 4.968j  c −6.354i − 5.718j  d −4.448i − 3.177j

When measuring with a muline, it was measured as n=10 when the speed was 1.1 m/s, and as n=32 when the speed was 1.5 m/s. What is the velocity formula?

1. In this problem, you will work out the dimensions and units of quantities from equations. This is a very useful method for checking the physical validity of equations. (a) Consider a particle whose position x is given as a function of its speed v by the following equation v = Ce¯x, where b and C are positive constants. Find the units of C and b in the S.I system. Practice Quiz1 (b) Consider a particle velocity v is given as a function of time t by the following equation, v= Aw sin(at) where A, o are positive constants. Find the units of A and in S.I units. 2. A particle is moving in a straight line. The graph denotes the velocity of the particle as a function of time. (a) Draw a graph of the acceleration of the particle as a function of time. Your graph should include the magnitude and sign of the acceleration. (b) Draw a graph of the displacement of the particle as a function of time. The particle starts from x = 0. 10 8 (s/w) A AA 2.6 -8 -10- t (sec)

Hullo! Physics student here! I'm struggling to figure out how to go about answering this question ):  In one study of an adult bat, with a mass of 3.3 g and a wingspan of 111 mm, scientists found that this bat emitted a high-pitched sound that travelled 25.5 m in 78.7 ms. Calculate the speed of sound (in m/s) in this situation. Hint: Enter only the numerical part of your answer rounded to the nearest integer.