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Announcements. Homework for tomorrow… (Ch. 5, Probs. 33, 39, & 42) 5.12 a) 15.6 m b) v 2x = 19.2 m/s, v 2y = 4.83 m/s c) no Office hours… M 3-4 pm TWR 9-10 am F 1-2 pm Tutorial Learning Center – Houston Hall 113 MWR 8 am-6 pm
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Announcements • Homework for tomorrow… (Ch. 5, Probs. 33, 39, & 42) 5.12 a) 15.6 m b) v2x = 19.2 m/s, v2y = 4.83 m/s c) no • Office hours… M 3-4 pm TWR 9-10 am F 1-2 pm • Tutorial Learning Center – Houston Hall 113 MWR 8 am-6 pm T 8 am-7 pm F 8 am-5 pm
Chapter 5 Net Force and 2D Motion (Velocity & Acceleration in 2D)
Review… Displacement Average Velocity , Instantaneous Velocity
Touchstone Examples 5-5 & 5-6 A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates of the rabbit’s position as functions of time t are given by • At t = 15 s, what is the rabbit’s position vector in unit-vector notation and as a magnitude and an angle? • Find the velocity at time t = 15 s, in unit-vector notation and as a magnitude and an angle.
Section 5.6:Average and Instantaneous Acceleration Average acceleration is the ratio of the velocity change to the time interval for that velocity change to occur or in unit-vector notation…
Acceleration The instantaneous acceleration is the limit of the average acceleration as ∆t approaches zero or in unit-vector notation…
Touchstone Example 5-7 A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates of the rabbit’s position as functions of time t are given by Find the acceleration at time t = 15 s, in unit-vector notation and as a magnitude and an angle.
Quiz Question 1 I twirl a ball attached to the end of a rope around in a circle with a constant speed. Does the ball have an acceleration? • YES • NO v v
Ways an Object Might Accelerate… • The magnitude of the velocity can change • The direction of the velocity can change • Even though the magnitude is constant • Both can change
Quiz Question 2 Consider the following controls in an automobile: gas pedal, brake, steering wheel. The controls in this list that cause an acceleration of the car are • all three controls • the gas pedal and the brake • only the brake • only the gas pedal.
Quiz Question 3 Which of the following objects can’t be accelerating? • an object moving with a constant speed • an object moving with a constant velocity • an object moving along a curve
Section 5.7:Uniform Circular Motion The rotating body undergoes a centripetal acceleration • Direction: towards the center of the circle (in the direction of ) • Magnitude: R