This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here are the solutions to the questions:
1. State the dimensions of the following physical quantities:
a) acceleration Acceleration is the rate of change of velocity. Velocity has dimensions of length (L) divided by time (T). Acceleration is velocity divided by time. Dimension of acceleration = \frac{LT^{-1}}{T} = \text{LT^{-2}}
b) pressure Pressure is force per unit area. Force has dimensions of mass (M) times acceleration (LT). Area has dimensions of length squared (L). Dimension of pressure = \frac{MLT^{-2}}{L^2} = \text{ML^{-1}T^{-2}}
c) density Density is mass per unit volume. Volume has dimensions of length cubed (L). Dimension of density = \frac{M}{L^3} = \text{ML^{-3}}
2. A projectile is launched with a velocity of at an angle of to the horizontal. If the time of flight is , calculate the maximum attainable height.
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1. State the dimensions of the following physical quantities: a) acceleration Acceleration is the rate of change of velocity.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.