Ch 02: 1D Motion (Kinematics)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: A particle at t1=−5.4 s is at x1=3.4 cm and at t2=5.6  s is at x2=8.0 cm. (a) What is its average velocity? (b) Can you calculate its average speed from these data?

Solution: A particle at t1=−5.4 s is at x1=3.4 cm and at t2=5.6  s is at x2=8.0 cm.(a) What is its average velocity?(b) Can you calculate its average speed from these data?

Problem

A particle at t1=−5.4 s is at x1=3.4 cm and at t2=5.6  s is at x2=8.0 cm.
(a) What is its average velocity?
(b) Can you calculate its average speed from these data?

Solution

We're asked to calculate the average velocity of a particle given a change in position and a change in time.

Recall that the average velocity of an object, vavg, is related to the change in position (displacement,x) over change in time Δt:

vavg=xt=x2-x1t2-t1

Velocity is a vector, which means the signs really matter (unlike speed, which is a scalar.)

(a) For the particle in this problem, we're first asked to calculate its average velocity between t1 and t2. We're given that x1 = 3.4 cm, x2 = 8.0 cm, t1 = −5.4 s, and t2 = 5.6 s.

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