Question

is means that Δυ The dimensions o a quantity are not changed by addition or subtraction o another quantity with the same d mens ons subtracting two speeds, has the same dimensions as speed. h ch mes rom It does not make physical sense to add or subtract two quanitites that have different dimensions, like length plus time. You can add quantities that have different units, like miles per hour and kilometers per hour, as long as you convert both quantities to the same set of units before you actually compute the sum. You can use this rule to check your answers to any physics problem you work. If the answer involves the sum or difference of two quantities with different dimensions, then it must be incorrect. This rule also ensures that the dimensions of any physical quantity will never involve sums or differences of the base dimensions. (As in the preceeding example 1+t is not a valid dimension for a physical quantitiy.) A valid dimension will only involve the product or ratio of powers of the base dimensions (e.g. m231t) mension will onlV I Part D Find the dimensions [a of acceleration. Express your answer as powers of length (l), mass (m), and time (t). View Available Hint(s)

Answer 1

Solution)

We know, acceleration A= delta v/ delta t =[L/T]/[T] = [L/T^2]

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