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This guide explores the fundamental concepts of velocity, scalars, and vectors, essential for understanding physics. Velocity is defined as speed in a given direction, distinct from speed itself, which is merely a scalar quantity. Learn how to calculate both speed and velocity, and understand the significance of direction in vector quantities. The material includes practical applications of vector addition, illustrating how vectors can be represented graphically and calculated using trigonometry. Enhance your grasp of these crucial concepts that form the basis of many physical principles.
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Think back to GCSE • Write down the definition of velocity • Speed in a given direction • Write down the calculation for velocity • But that is how you calculate speed, which you just said is different to velocity
Monday, 08 September 2014 1.1.2 Scalars and Vectors • Learning Objectives: • Understand the difference between scalars and vectors. • Add and subtract vectors. • Work out the x and y components of a vector.
Distance (x) Displacement (s)
Vector Scalar Speed (v) = Distance (x) Time (t) Velocity (v) = Displacement (s) Time (t) Magnitude Magnitude Direction
Vectors • Some quantities need to have a direction to be meaningful. • Force for instance can be big or small but we need to know the direction it acts if it is to be useful. • Vectors are quantities that have BOTH a Magnitude and a Direction • We can represent them with ARROWS 10 N Right 10 N Left or -10N
Vectors Scalars • Velocity • Acceleration • Momentum • Force • Displacement • Electric field strength • Time • Distance • Speed • Temperature • Mass • Power • Energy
Vector Addition • Is not like ordinary arithmetic • You have to take account of the direction • Two ways to do it • Scale drawing • Trigonometry
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= Fsin Fy F = Fcos Fx