9. A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is r(t) = 50cm+ (2cm/s)t- (0.0625cm/s²)t² (a) Find the turtle's initial velocity, initial position, and initial acceleration. (b) Graph the position - time of the turtle. (c) Calculate average velocity between t = 0 and t = 10s. (d) What is the instantaneous velocity at t = 5s? (e) What is the instantaneous acceleration at t = 5s? (Note: convert cm/s to m/s and cm to m. Conversion is: 100 cm = 1m)

A runner, jogging along a straight-line path, starts at a position 60.0 m east of a milestone marker and heads west. After a short time interval he is 15.7 m west of the mile marker. Choose east to be the positive x-direction. What is the runner’s displacement from his starting point? Enter a positive value if the displacement is toward east of the milestone and a negative value if the displacement is toward west of the milestone.

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9 ΔΔΔ Δ Δ ΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΑ What is the approximate total displacement based on the graph below? use 2 sfs. Approximate the values on each axis to the best of your ability. 560 (velocity mis 50 2240 30 P 10 123 I 3 4 5 Time (s) 1 678 9 2

A particle moves so that its position (in meters) as a function of time (in seconds) is r = î + 2t² j+ 2tk. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. v(t) = m/s (b) Write an expression for its acceleration as a function of time. d(t) = m/s2 Submit Answer

Problem 3: You throw an object up with a speed of voy = 7 m/s from a height of y = 25 m. %3D Part (a) How long, in seconds, does it take for the object to reach the ground? Numeric : A numeric value is expected and not an expression. %3D

The Beretta Model 92S (the standard-issue U.S. army pistol) has a barrel 127 mmmm long. The bullets leave this barrel with a muzzle velocity of 349 m/sm/s. 1) What is the acceleration of the bullet while it is in the barrel, assuming it to be constant? Express your answer in meters per second squared. 2) What is the acceleration of the bullet while it is in the barrel, assuming it to be constant? Express your answer as a multiple of acceleration due to gravity g.   3) For how long is the bullet in the barrel? Express your answer in seconds.

Two-dimensional motion: Object A has a position as a function of time given by rA(t) = (3.00 m/s)t i + (1.00 m/s2)t2j. Object B has a position as a function of time given by r p(t) = (4.00 m/s)ti + (-1.00 m/s2)t2i. All quantities are SI units. What is the distance between object A and object B at timet= 3.00 s?

A group of students in a science class monitored the movement of a cat walking along with a straight line and recorded the cat's position in five-second intervals.The results are summarized it in the table below.  time and position time(s) position (cm) 0 49.0 5 38.0 10 43.0 15 40.0 20 60.0   A. What is the displacement of the cat between t = 5.00 s and t = 20.0 s?   B. What is the average velocity of the cat between t = 5.00 s and t = 20.0 s?   C.What is the distance the cat traveled between t = 5.00 s and t = 20.0 s?

One of the fastest known animals is the Indian spine-tailed swift. A swift flies 2.80 km due north in a time of 32.8 s. a. What is its average velocity due north in meters per second? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. answer in m/s b. What is its average velocity due north in miles per hour? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. anser in mi/h