A cross-country runner has a speed of 3.30 m/s and runs in a direction 20.0° counterclockwise from the positive x-axis. (a) What are the components of the runner's velocity, in meters per second? x component y component m/s m/s (b) If the runner slows down until his speed is one quarter of the original speed, how will it affect the components of his velocity? O His velocity components will be quartered. O His velocity components will be quadrupled. O His velocity components will not change. O His velocity components will be halved.

v (mi/h) Velocity 100 80 60 40 20 0 Acceleration = 0 t = 5 Round the answers to the nearest whole part. (a) Using the graph, estimate the acceleration at 60 mi/h (in ft/s²). 10 15 20 25 30 Time t(s) (b) Using the graph, estimate the time at which the maximum accelereation occurs. S ft/s²

Ex. 2. A car driver in northern Ontario makes the following displacements: Ad₁= 15.0 km [W 30.0°N] Ad2 = 10.0 km [W 75.0°N] Ad3= 10.0 km [E 70.0° N] The trip takes 0.50 h. Calculate the average velocity of the car and driver in km/h.

In reaching her destination, a backpacker walks with an average velocity of 1.01 m/s, due west. This average velocity results, because she hikes for 5.44 km with an average velocity of 2.59 m/s due west, turns around, and hikes with an average velocity of 0.397 m/s due east. How far east did she walk (in kilometers)? Number i| ! West Units de VW dw km VE East

The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) and velocity v would give the rate at which the balance changes (in units of, for example, $/month). Acceleration would give the rate at which v changes. Suppose a person begins with one thousand dollars in the bank. Initial money management leads to no net change in the account balance so that v. 0. Unfortunately, management worsens over time so that a = -2.42 x 102 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty. HINT months Mand Halan

1/3 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle, which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 17.9 min. a.If the straight-line distance from her home to the university is 10.310.3 km in a direction 28.028.0º south of east, what was her average velocity? (magnitude and direction south of east) b.If she returned home by the same path 6.50h after she left, what was her average speed for the entire trip?

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Current Attempt in Progress In reaching her destination, a backpacker walks with an average velocity of 1.41 m/s, due west. This average velocity results, because she hikes for 6.94 km with an average velocity of 2.42 m/s due west, turns around, and hikes with an average velocity of 0.638 m/s due east. How far east did she walk (in kilometers)? VW 71 Number i West Units dw VE East dE