for 5.00 seconds. After this 5.00-second interval, the object then travels as a projectile. Determine the maximum height of the projectile.
Projectile
A projectile is an object that is thrown without any fuel. Generally, a projectile is thrown with a velocity that makes an angle with respect to the horizontal. Examples of a projectile are meteors and an artillery gun firing at enemy positions.
The trajectory of a projectile thrown with an initial velocity at an angle with respect to the horizontal is
is the maximum height attained by the projectile and is the range of the projectile.
The x and y components of the initial velocity of the projectile are
Therefore the vertical displacement of the projectile with the y component velocity at that moment is given by
Here is the acceleration due to gravity. Now at the highest point of the trajectory, the y component of the velocity is zero. If is the maximum height attained by the projectile, we get
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