Two students use a 40 Hz tape timer to measure the time of fall of a ball from a height. They count 239 dots on the tape. What is the time of fall of the ball?
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- Data number y t t2 1 10m 4.28s 18.31s 2 20m 4.42s 16.32s 3 30m 3.78s 14.28s 4 40m 3.50s 12.25 5 50m 3.19s 10.17s 6 60m 2.86s 8.17s 7 70m 2.47s 6.10s The equation of distance as a function of time for a freely falling object is described, according to theory, by the equation: since (vi=0 , yi=0) y(t)= yi+vt*t+1/2*g*t2 Use the table for : make a plot of y(t) vs t2 , and then calculate the slope in order to find g (the acceleration due to gravity, which is 9.8 m/s2) find Slope = Δy / Δt2 g =A lidar (laser radar) gun is an alternative to the standard radar gun that uses the Doppler effect to catch speeders. A lidar gun uses an infrared laser and emits a precisely timed series of pulses of infrared electromagnetic waves. The time for each pulse to travel to the speeding vehicle and return to the gun is measured. In one situation a lidar gun is a stationary police car observes a difference of 1.16 x 10 s in round-trip travel times for two pulses that are emitted 0.550 s apart. Assuming that the speeding vehicle is approaching the police car essentially head-on, determine the speed of the vehicle.A men travels with a speed of 20 ms ¹ for 60 minute. How much distance does he travel ?
- A stone is dropped from the deck of a bridge. The sound of the splash reached the deck 3 secs later. The speed of sound is 342 m/s in still air. Which of the following gives the time the stone travels from the deck to the water surface before the splash? A 4.181 secs B) 8.281 secs 3.188 secs 1.881 secs E) 2.881 secs F 0.288 secsEarthquakes produce several types of shock waves. The most well-known are the P-waves (P for primary or pressure) and the S-waves (S for secondary or shear). In the earth's crust, the P-waves travel at around 6.5 km/skm/s while the S-waves move at about 3.5 km/skm/s. The actual speeds vary depending on the type of material they are going through. The time delay between the arrival of these two waves at a seismic recording station tells geologists how far away the earthquake occurred. If the time delay is 33 ss, how far from the seismic station did the earthquake occur? Express your answer in kilometers d = __________kmA space probe of the surface of Mars sends a radio signal back to the Earth, a distance of 3.91 x 108 km. Radio waves travel at the speed of light (3.00 x 108 m/s).(a) How far away is the space probe?(b) How many seconds does it take for the signal to reach the Earth?(c) How many hours is this?
- You are observing the poles along the side of the road as described in the opening storyline of the chapter. You have already stopped and measured the distance between adjacent poles as 40.0 m. You are now driving again and have activated your smartphone stopwatch. You start the stopwatch at t 5 0 as you pass pole #1. At pole #2, the stopwatch reads 10.0 s. At pole #3, the stopwatch reads 25.0 s. Your friend tells you that he was pressing the brake and slowing down the car uni- formly during the entire time interval from pole #1 to pole #3. (a) What was the acceleration of the car between poles #1 and #3? (b) What was the velocity of the car at pole #1? (c) If the motion of the car continues as described, what is the number of the last pole passed before the car comes to rest?The typical American man has a leg length of 0.85 m and walks at a speed of 1.4 m/s. A giraffe’s legs are 1.8 m long. At what speed do you expect a giraffe to walk? Hint: An animal’s speed is proportional to the length of its legs times the frequency of its strides.The position-time graph that describes the motion of an object is given as in the figure below. if the values of a= 138.4m, b=227.5m and c=312.5m, Find the distance traveled by the object ( in units of m) over the time interval of [0, 40] s. x(m) a t(s) 10 30 40 Select one: O A. 263.2 OB. 401.6 OC. 490.7 OD. 678.4 O E. 540.0 20
- A stone is dropped from the deck of the bridge. The sound of the splash reached the deck 3 secs later. The speed of sound is 342 m/s in still air. What is the time of sound that travels from the water surface above the deck after the splash?Mario rides his motorcycle in going to school. He drives at an average speed of 30 kilometers per hour. The distance between his house and the school is 15 kilometers. Every time he sees his best friend Jessica walking on the road, he invites her for a ride and lowers his speed. On the other hand, he increases his speed when he wakes up late for school. a) If x represents the time it takes Mario to drive to school with the given distance of 15 kilometers, how will you represent the relationship of his speed (y) versus the time (x)?Rachel watches a thunderstorm from her window. She sees a flash of lightning bolt and begins counting the seconds until she hears a clap of thunder 10.0 ??????? later. Assume the speed of sound in air is 340 ?⁄? and the light was seen instantaneously. How far away was the lightning?