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: An object has the following position vector: r(t) = (3m – (14 m/s3)t3)+ ((15 m/s)t + (0.5 m/s2)t2)j + (–2.4 m + (0.9 m/s)t) ka) What is the velocity vector of the object?b) What is the acceleration vector of the object?c) At t = 7 s, what is the object’s distance from the origin?d) At t = 4 s, what is the x-component of the object’s velocity?e) At t = 2.5 s, what is the object’s speed?f) At t = 5.5 s, what is the object’s acceleration?

Solution: An object has the following position vector: r(t) = (3m – (14 m/s3)t3)i + ((15 m/s)t + (0.5 m/s2)t2)j + (–2.4 m + (0.9 m/s)t) k. a) What is the velocity vector of the object?b) What is the acceleratio

Problem

An object has the following position vector: r(t) = (3m – (14 m/s3)t3)+ ((15 m/s)t + (0.5 m/s2)t2)j + (–2.4 m + (0.9 m/s)t) k

a) What is the velocity vector of the object?

b) What is the acceleration vector of the object?

c) At t = 7 s, what is the object’s distance from the origin?

d) At t = 4 s, what is the x-component of the object’s velocity?

e) At t = 2.5 s, what is the object’s speed?

f) At t = 5.5 s, what is the object’s acceleration?