Assuming no air resistance, the arrow will take approximately 5 seconds to hit the ground because it will reach its maximum height before falling back down due to gravity. The total time for the arrow to travel up and back down is twice the time it takes to reach the maximum height.
The time the arrow will be in the air before beginning to fall can be calculated using the formula t = (final velocity - initial velocity) / acceleration. Since the arrow is shot straight up, the final velocity at the top of its flight is 0. Given the initial velocity of 200 ms and acceleration due to gravity of -9.81 m/s^2, the time in the air before beginning to fall is approximately 20.4 seconds.
The average deceleration of the arrow can be calculated using the formula: average deceleration = (final velocity - initial velocity) / time. Plugging in the values gives an average deceleration of (51.0 - 100.0) / 5.00 = -9.8 m/s^2. This negative value indicates that the arrow is decelerating due to the acceleration of gravity.
To calculate the time it takes for the arrow to hit the ground, we need to consider the vertical motion of the arrow. The time taken for an object to fall back to the ground can be determined using the kinematic equation: h = (1/2)gt^2, where h is the initial height, g is the acceleration due to gravity (approximately 9.81 m/s^2), and t is the time. In this case, the initial velocity is upwards, so the initial height will be 0. Using the equation, we can determine the time it takes for the arrow to hit the ground.
To find the initial velocity of the arrow, you can use the equation Vf^2 = Vi^2 + 2gh, where Vf is the final velocity (0 m/s at the top of the flight), Vi is the initial velocity, g is the acceleration due to gravity, and h is the height reached (75m). Solve for Vi to get the initial velocity. To find the time the arrow was in the air, you can use the equation h = Vit - 0.5g*t^2, where t is the time in the air. Plug in the known values to solve for t.
The arrow will begin to fall when its velocity becomes negative, which will happen after it reaches its maximum height and starts to descend. The time it takes for the arrow to reach its peak height can be calculated using the formula: time = (final velocity - initial velocity) / acceleration. After reaching the peak, the arrow will take the same amount of time to fall back down.
This is a velocity question so u need to use uvaxt
The time the arrow will be in the air before beginning to fall can be calculated using the formula t = (final velocity - initial velocity) / acceleration. Since the arrow is shot straight up, the final velocity at the top of its flight is 0. Given the initial velocity of 200 ms and acceleration due to gravity of -9.81 m/s^2, the time in the air before beginning to fall is approximately 20.4 seconds.
Acceleration of the arrow is -3m/s2A = (velocity minus initial velocity) / time
The average deceleration of the arrow can be calculated using the formula: average deceleration = (final velocity - initial velocity) / time. Plugging in the values gives an average deceleration of (51.0 - 100.0) / 5.00 = -9.8 m/s^2. This negative value indicates that the arrow is decelerating due to the acceleration of gravity.
To calculate the time it takes for the arrow to hit the ground, we need to consider the vertical motion of the arrow. The time taken for an object to fall back to the ground can be determined using the kinematic equation: h = (1/2)gt^2, where h is the initial height, g is the acceleration due to gravity (approximately 9.81 m/s^2), and t is the time. In this case, the initial velocity is upwards, so the initial height will be 0. Using the equation, we can determine the time it takes for the arrow to hit the ground.
To find the initial velocity of the arrow, you can use the equation Vf^2 = Vi^2 + 2gh, where Vf is the final velocity (0 m/s at the top of the flight), Vi is the initial velocity, g is the acceleration due to gravity, and h is the height reached (75m). Solve for Vi to get the initial velocity. To find the time the arrow was in the air, you can use the equation h = Vit - 0.5g*t^2, where t is the time in the air. Plug in the known values to solve for t.
The arrow will begin to fall when its velocity becomes negative, which will happen after it reaches its maximum height and starts to descend. The time it takes for the arrow to reach its peak height can be calculated using the formula: time = (final velocity - initial velocity) / acceleration. After reaching the peak, the arrow will take the same amount of time to fall back down.
Assuming no air resistance, the time it takes for the arrow to hit the ground is approximately 5 seconds. This is calculated using the kinematic equation: ( t = \frac{2v_0}{g} ), where ( v_0 = 250 , m/s ) and ( g = 9.81 , m/s^2 ) is the acceleration due to gravity.
The change in velocity is 51-100 = -49 m/s This occurred over a period of 5 seconds so The (negative) acceleration - aka - deceleration is (-49 m/s)/(5 s) = -9.8 m/s²
Both arrows will hit the ground at the same time because the force of gravity acts equally on both arrows, regardless of their initial horizontal or vertical motion. The vertical component of the horizontally shot arrow's motion does not affect the time it takes to fall to the ground.
The arrow's direction indicates the velocity's direction, while the arrow's length represents the velocity's magnitude.
An arrow shot vertically into the air will lose velocity and reverse direction. When it begins to descend, the fletching will quickly cause it to re-orient with the point downward. It will accelerate until it reaches its terminal velocity. Assuming an atmospheric density of 1.3 kg/m^3, and an arrow with a drag coefficient of 1.2, a weight of 0.23 N (200 grains), cross-sectional area of 23.48 mm^2, I calculate a terminal velocity of 112.6 m/s. That's about the same as the initial velocity when shot from a compound bow! One question remains, however: does the arrow have enough time during its descent to reach terminal velocity? That would depend on how high you shot it in the first place. Roughly speaking, though, the faster it was going when it left the bow, the faster it will be going when it reaches the ground.