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The ball starts from rest at time t = 0 at a position on the tape designated x = 0. 8b. 60 s. 4). 60 s). 2). There are plenty of time intervals to use. 05 s. 60 s. 01 s. (a) Falling ball makes dots on tape The ball starts at x = 0 and falls vertically. 8 Analyzing the motion of a falling body. cont d. 83 m>s. 60 s. 13 m>s. 13 m>s? 60 s. Average velocity is the slope of the secant line. 13 m>s, because the ball s velocity increases as it falls. 13 m>s at the end. 13 m>s. ANSWER *TIP Position, x You can estimate instantaneous velocity numerically by shrinking the time interval.
Note: The answer is used in the song Seasons of Love from the musical Rent. 65. BIO Horse race. 5-mile Belmont Stakes. (a) What was Secretariat s average speed, in SI units? 8 seconds. 66. Eratosthenes, a Greek living in Egypt in the 3rd century BCE, estimated Earth s diameter using the following method. On the first day of summer, he noted that the Sun was directly overhead at noon in Syene. 2° from overhead. One stade is about 500 feet. (a) Find Earth s diameter in stades and in meters. 7 Mm.
Determine what you know, including numerical values. Make sure you ve assigned correct signs to all quantities acceleration, velocity, and position. Identify what you re trying to find. Plan how to use the given information to solve for unknown(s). Consider: Is time involved, as a given quantity or an unknown to be found? 9). 10). SOLVE * * * Gather the information you re given. Combine and solve equations for the unknown quantity. Insert numerical values and solve, making sure to use appropriate units.