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What dimension controls time in a falling body and projectile motion problems?
The dimension that controls time in falling body and projectile motion problems is vertical displacement, usually denoted as "y". Time affects how far an object falls or how far it travels horizontally in projectile motion. The equations of motion used to solve these problems involve time as a variable to calculate the position or velocity of the object at a given time.
Which is a characteristic of projectile motion?
One characteristic of projectile motion is that the object follows a curved path under the influence of gravity. This motion can be divided into horizontal and vertical components that are independent of each other. The object’s velocity changes due to the constant acceleration from gravity.
If a basketball player throws a ball from 2.0m in the air towards the hoop 10m away If the hoop is 3.05m off the ground and the initial angle is 40 degrees what is the initial velocity?
The initial velocity of the ball can be calculated using the kinematic equation for projectile motion. By using the vertical component of velocity (V0y) and the time of flight, we can determine the initial velocity needed for the ball to reach the hoop. The velocity components are V0x = V0 * cos(θ) and V0y = V0 * sin(θ), where θ is the initial angle. The time of flight in this case is determined by the vertical motion of the ball, and it can be found by using the equation of motion for the vertical direction, considering the initial vertical velocity, the gravitational acceleration, and the vertical displacement of the ball. Once these values are calculated, the initial velocity can be computed by combining the horizontal and vertical components of the motion.
When calculating acceleration to find the change in velocity you subtract the what velocity from the final velocity?
When calculating acceleration to find the change in velocity, you subtract the initial velocity from the final velocity. The formula for acceleration is: acceleration = (final velocity - initial velocity) / time.
What describes both speed and direction?
Velocity describes both the speed and direction an object is moving.
Is a projectile velocity the highest velocity that can be reached?
No, a projectile velocity is the initial velocity at which a projectile is launched. The highest velocity a projectile can reach depends on factors such as air resistance, gravity, and propulsion force. In some cases, the velocity of a projectile can increase or decrease after it is launched.
What is the magnitude of the velocity of a vertical projectile at its maximum height is equal to?
The horizontal component of a projectile's velocity doesn't change, until the projectile hits somethingor falls to the ground.The vertical component of a projectile's velocity becomes [9.8 meters per second downward] greatereach second. At the maximum height of its trajectory, the projectile's velocity is zero. That's the pointwhere the velocity transitions from upward to downward.
How can one determine the vertical velocity of a projectile?
To determine the vertical velocity of a projectile, you can use the formula: vertical velocity initial vertical velocity (acceleration due to gravity x time). The initial vertical velocity is the speed at which the projectile is launched upwards or downwards. Acceleration due to gravity is typically -9.8 m/s2 (negative because it acts downwards). Time is the duration for which the projectile has been in motion. By plugging in these values, you can calculate the vertical velocity of the projectile.
How does projectile differ from an object in free fall?
A projectile has an initial forward velocity.
What would happen if the projectile were thrown with greater velocity?
A projectile thrown with a greater velocity would travel a greater distance. Velocity is not just speed but direction as well.
What would happen if a projectile were thrown with greater velocity?
A projectile thrown with a greater velocity would travel a greater distance. Velocity is not just speed but direction as well.
How do you find the speed of a projectile?
To find the average velocity of a projectile, use V = D/T (Velocity equals Displacement over Time).
What is the direction of oblique projectile at highest point?
At the highest point of its trajectory, the direction of an oblique projectile will be horizontal. This means that the projectile will momentarily have zero vertical velocity and only horizontal velocity.
What would happen if the projectile were thrown with a greater velocity?
If the projectile is thrown with a greater velocity, it would travel further and potentially reach a higher peak height. The increased velocity would also result in a shorter flight time and the projectile hitting the ground with a greater impact force.
How can the horizontal velocity of a projectile be described?
The horizontal velocity of a projectile remains constant if there is no air resistance or external forces acting horizontally. This means that the horizontal component of the projectile's velocity does not change throughout its trajectory, only its vertical component is affected by gravity.
What happens to the velocity of a projectile at its maximum height?
The velocity of a projectile at its maximum height is zero. This is because at the highest point of the projectile's trajectory, all of its initial kinetic energy has been converted into potential energy, causing the velocity to momentarily become zero.
How can one determine the launch velocity of a projectile?
To determine the launch velocity of a projectile, you can use the projectile motion equations. By measuring the initial height, horizontal distance traveled, and the angle of launch, you can calculate the launch velocity using trigonometry and kinematic equations.
