or the graph below, sketch with numbers the corresponding acceleration-time graph and displacement-

(a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of distance. (b) If you extrapolate back in time, how long ago would all of the galaxies have been at approximately the same position? The two parts of this problem give you some idea of how the Hubble constant for universal expansion and the time back to the Big Bang are determined, respectively. Figure 3.64 Five galaxies on a straight line, showing their distances and velocities relative to the Milky Way (MW) Galaxy. The distances are in millions of light years (Mly), where a light year is the distance light travels in one year. The velocities are nearly proportional to the distances. The sizes of the galaxies are greatly exaggerated; an average galaxy is about 0.1 MlY across.

(a) A car speedometer has a 5% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per how. Note 1 km = 0.6214 mi.

(a) Calculate Earth's average speed relative to the Sun. (b) What is its average velocity over a period of one year?

A car is traveling at a speed of 33 m/s. (a) What is its speed in kilometers per hour? (b) Is it exceeding the 90 km/h speed limit?

In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .

How many minutes Raman will take to cover a distance of 400 meters if he runs at a speed of 20 km/hr ? a.2 mins b. 1.5 mins ¢. 1% mins d. 2.5 mins e. None of these

A stone is tossed into the air from ground level with an initial velocity of 30 m/s. Its height at time t is h(t) : 30t – 4.9t2 m. Compute the stone's average velocity ū in m/s over the time intervals [2, 2.01], [2,2.001], [2,2.0001] and [1.9999, 2], [1.999, 2], [1.99, 2]. (Use decimal notation. Give your answers to three decimal places.) Ū12,2.01] = m/s Ü12,2.001] = m/s U12,2.0001] = m/s

The distnace from earth to the moon is 239,000 miles. a. how many kilometers are in 239000 miles? b. given that the light travels at 3.00*10^8 m/s , how many minutes does it take for light to travel to the moon ? c. The apollo 10 mission holds the record for the highest speed by a manned vehicle at 11080 m/s . How many minutes would it take for the apollo 10 mission to reach the moon assuming the rocket travels ina straight line at that top speed? d. The apollo 11 mission took 73.45 hours to reach lunar orbit once it left earths orbit. The avergae speed duirng that time was 5500km/hr. How many miles did the apollo 11 mission actually travel in space ?

Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 35 km/h and the other is moving at 40 km/h. In how many hours will they meet? A) 2.5 h B) 2.0 h C) 1.75 h D) 1.5 h F) 1.25 h