Brittany throws a slingshot pellet directly at a target that is far enough away to take 0.190 s to reach. How far below the target does the pellet hit? Enter m as unit.
How high above the target should she aim? Enter m as unit.
To find the distance below the target where the pellet hits, we need to use the equations of motion.
First, we need to determine the initial vertical velocity of the pellet when it is launched. Assuming there is no initial vertical velocity, the only force acting on the pellet vertically is gravity. Therefore, the initial vertical velocity is 0 m/s.
We can use the equation of motion for vertical displacement:
Δy = V₀y * t + 0.5 * g * t²
where Δy is the vertical displacement, V₀y is the initial vertical velocity, t is the time elapsed, and g is the acceleration due to gravity.
Since V₀y is 0 m/s, the equation simplifies to:
Δy = 0.5 * g * t²
Plugging in the values, we have:
Δy = 0.5 * 9.8 m/s² * (0.190 s)²
Δy = 0.5 * 9.8 m/s² * 0.0361 s²
Δy ≈ 0.1766 m
Therefore, the pellet hits the target approximately 0.1766 meters below the target.
To find how high above the target Brittany should aim, we need to consider that the vertical displacement is the same for both the upward and downward flights of the pellet. Therefore, she should aim the same distance above the target.
Thus, she should aim approximately 0.1766 meters above the target.