Ch 03: 2D Motion (Projectile Motion)WorksheetSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Solution: Suppose the position vector for a particle is given as a function of time by r S1t2 5 x 1t 2i ^ 1 y1t 2 j ^ with x(t) 5 at 1 b and y(t) 5 ct2 1 d where a 5 1.00 m/s b 5 1.00 m c 5 0.125 m/s2 and d 5 1.00 m. (a) Calculate the average velocity during the time interval from t 5 2.00 s to t 5 4.00 s. (b) Determine the velocity and the speed at t 5 2.00 s.

Solution: Suppose the position vector for a particle is given as a function of time by r S1t2 5 x 1t 2i ^ 1 y1t 2 j ^ with x(t) 5 at 1 b and y(t) 5 ct2 1 d where a 5 1.00 m/s b 5 1.00 m c 5 0.125 m/s2 and d 5 1

Problem

Suppose the position vector for a particle is given as a function of time by r S1t2 5 x 1t 2i ^ 1 y1t 2 j ^ with x(t) 5 at 1 b and y(t) 5 ct2 1 d where a 5 1.00 m/s b 5 1.00 m c 5 0.125 m/s2 and d 5 1.00 m. (a) Calculate the average velocity during the time interval from t 5 2.00 s to t 5 4.00 s. (b) Determine the velocity and the speed at t 5 2.00 s.