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Graphing Motion - Position, Velocity and Acceleration
With graphing and/or the advent of calculus, not only can we calculate the average values like those calculated above, but we can also calculate an instantaneous velocity and acceleration. The instantaneous speed is what is displayed on your speedometer in your car compared to an average over the whole trip.
Example 1 - If you drive 50 km North from Point A, to Point B in two hours what is your average speed? Ave V = Δd/ Δt = 50kam/2hr North = 25 kam/h North Does this mean that the car's velocity at any given time is 25 km/h? No. Read on. If you graph the car's position with time, the velocity at a time, t, is given by the slope of the line at the time t. Using calculus this can be expressed asV = dd/dtA = dv/dtSo moving from position to acceleration: to find the velocity, take the derivative (or find the slope) of the position line and to find the acceleration, take the derivative of the velocity line. In the other direction: to find the velocity, compute the area under the curve of the acceleration graph and to find the distance, compute the area under the speed graph.Calculus also gives us relationships between position, speed and acceleration in terms of time.d (t) = d0 + v0 t + ½ a t2 if a is a constant valuev (t) = v0 + a t
M is the magnetic moment of bar magnet and T is time period of oscillation. If we make M as M/4 then what will be the time period
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Define the Momentum and Impulse. Momentum, p, is a measure of a car's motion. p = m v where p is momentum in kg-m/s, m is mass in kilograms and v is the velocity of the ca
can electrons from an electron gun produce electricity
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Using a wheel and axle Use the pencil sharpener that you used in experiment A 8. Pull on the end of the string that held the books and observe how rapidly the crank turns.
if in an interference pattern,the ratio between maximum and minimum intensities is 36:1,find the ratio between the amplitude and intensities of the two interfering waves.
The current in an RL circuit builds up one-third of its steady value in 4.56s. Find the inductive time constant.
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