The constant acceleration equation is used to model the horizontal displacement at time t seconds of a projectile, where and are respectively the initial velocity and acceleration of the projectile in the horizontal direction.
Show that , justifying any assumptions you make.
A projectile is projected horizontally from a set height with a velocity of . It reaches the ground 5 seconds later.
Find the horizontal displacement of the projectile when it reaches the ground.
Taking the downward direction to be positive, use the constant acceleration equation to show that, to 3 significant figures, the height from which the projectile was projected is .
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