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P1250 Hand-in Homework #1 Due Date: 9/12/2021 *See the HiHW grading rubric posted on Carmen* Name: Recitation Instructor: A wildebeest calf is cruising at its top speed of v = 10 m/s when it passes over a sleeping cheetah. By the time the cheetah stands up and begins pursuit, the wildebeest is d = 7.0 m ahead of the cheetah. If the cheetah is able to maintain a constant acceleration of a = 9.5 m/s2 until it catches the wildebeest, then how much time t must pass before the cheetah catches up to the wildebeest? (Hint: you will need to use the quadratic formula.) For the limits check, investigate what happens to t as the initial separation distance d approaches zero. Representation: 0 1 2 Physics Concept(s): 0 1 2 Initial Equation(s): 0 0.5 1 Symbolic Answer: 0 1 Units Check: 0 0.5 1 Limits Check: 0 0.5 1 Neatness: -2 -1 0 Total: Correct Answer: Y N Representation Physics Concept(s) (Refer to the list posted on Carmen) Initial Equations (1) ↓ Show Your Equation Work On Next Page ↓ Algebra Work (Symbols only. Don’t plug in any numbers yet.) Symbolic Answer: Units Check Limits Check a) As d → 0, what limit does t approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.) Sample Hand-in Homework P1250 Hand-in Homework #1 Due Date: N/A 9/3/2021 *See the HiHW grading rubric posted on Carmen* Name: Recitation Instructor: While warming up before the match, Serena Williams is gently bouncing a tennis ball up and down on her racket. She then gives it a powerful upward hit from an initial height of 0.80 m and sends it traveling perfectly vertically. After rising to its maximum height the ball falls back down to the court. Given that the ball was in the air for a total of 1.9 s, determine its velocity upon hitting the court. For the limits check, investigate what happens to vf as the flight time gets large (i.e., as t → ∞). Representation: 0 1 2 Physics Concept(s): 0 1 2 Initial Equation(s): 0 0.5 1 Symbolic Answer: 0 1 Units Check: 0 0.5 1 Limits Check: 0 0.5 1 Neatness: -2 -1 0 Total: Correct Answer: Y N Representation Physics Concept(s) (Refer to the list posted on Carmen) Initial Equations (1) ↓ Show Your Equation Work On Next Page ↓ Algebra Work (Symbols only. Don’t plug in any numbers yet.) Symbolic Answer: Units Check Limits Check a) As t → ∞, what limit does vf approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.) P1250 Foundational Physics Concepts for HiHWs • • • • • • • • Kinematics Concepts o One-dimensional kinematics o Projectile motion Forces Concepts o Newton’s laws of motion o Newton’s law of gravitation o Uniform circular motion Energy Concepts o Conservation of energy o Conservative forces o Non-conservative forces o Work-energy theorem Momentum Concepts o Impulse o Conservation of momentum o Collisions o Center of mass Rotational Concepts o Rotational form of Newton’s 2nd law o Rotational kinematics o Torque o Moment of inertia o Angular impulse o Conservation of angular momentum Fluids concepts o Pascal’s principle o Archimedes’ principle o Bernoulli’s equation Thermodynamics Concepts o 1st law of thermodynamics o 2nd law of thermodynamics o Ideal gas law o Equipartition of energy o Processes on the P-V plane o Carnot engine o Entropy Relativity Concepts o Time dilation o Length contraction o Relativistic addition of velocities • Periodic motion o Simple harmonic motion o Oscillations o Resonance o Damped harmonic motion

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