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The time for projectile motion is completely determined by the vertical motion. So any projectile that has an initial vertical velocity of 14.3 m / s 14.3 m / s and lands 20.0 m below its starting altitude will spend 3.96 s in the air.
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There is no vertical component in the initial velocity (\(\mathrm{v_0}\)) because the object is launched horizontally. Since the object travels distance \(\mathrm{H}\) in the vertical direction before it hits the ground, we can use the kinematic equation for the vertical motion: \[\mathrm{(y−y_0)=−H=0⋅T−\dfrac{1}{2}gT^2}\]
(a) As mentioned earlier, the time for projectile motion is determined completely by the vertical motion. Thus, any projectile that has an initial vertical velocity of 21.2 m/s and lands 10.0 m above its starting altitude spends 3.79 s in the air. (b) The negative angle means the velocity is 36.9 ° 36.9 ° below the horizontal at the point of ...
How does the initial velocity of a projectile affect its range? Obviously, the greater the initial speed v 0 v 0, the greater the range, as shown in Figure 3.38(a). The initial angle θ 0 θ 0 also has a dramatic effect on the range, as illustrated in Figure 3.38(b).
11 sie 2021 · Thus, any projectile that has an initial vertical velocity of 21.2 m/s and lands 10.0 m above its starting altitude spends 3.79 s in the air. The negative angle means the velocity is 53.1° below the horizontal at the point of impact.
Velocity and Acceleration in Projectile Motion. Consider the diagram shown below. It shows that the velocity of a projectile is changing.
12 mar 2024 · How does the initial velocity of a projectile affect its range? It is intuitive to guess that, the greater the initial speed \(v_{0}\), the greater the range, as shown in Figure \(\PageIndex{2}\) (a). The initial angle \(\theta_{0}\) also has a dramatic effect on the range, as illustrated in Figure \(\PageIndex{2}\) (b).
