A bullet is fired with a velocity of 100m/s from the ground at an angle of 60 degrees with the horizontal. What is the horizontal range covered by the bullet? Also, what is the maximum height attend?
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Velocity is a vector, in this case it has an x and y component. 100m/s is the magnitude of this vector, aka speed. Start the problem by finding the x and y components of the velocity vector (hint: use sin and cos)
Next, realize that the kinematic equations should be applied in the x and y directions separately. Think of the y component as a simple up and down vertical motion. Remember that the acceleration of gravity only acts in the y direction and is 9.81m/s^2. With this you can calculate air time. Using the total air time (which is the same in both x and y directions) you can use the kinematic equations in the x direction (horizontal) to find the range.
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