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Is it true that the vertical component of the projectile motion of an object depend on initial velocity only?

Yes, in projectile motion, the vertical component of motion is influenced by the initial velocity in the vertical direction. The horizontal and vertical components of motion are independent of each other, with the horizontal component being influenced by the initial velocity in the horizontal direction.


A ball is thrown horizontally from a window on the second floor of a building What is the vertical component of its initial velocity?

The vertical component of the initial velocity of the ball thrown horizontally from a window is zero. The ball's initial velocity in the vertical direction is influenced only by the force of gravity, not the horizontal throw.


How can you use the initial value theorem to solve for the initial slope of a function?

I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.


How can one determine the vertical velocity of an object?

To determine the vertical velocity of an object, you can use the formula: vertical velocity initial vertical velocity (acceleration due to gravity x time). This formula takes into account the object's initial velocity and how gravity affects its motion over time.


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.


How do you find vertical and horizontal components when given the initial velocity?

If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).


An exponential growth function describes an amount that decreases exponentially over time?

An exponential growth function actually describes a quantity that increases exponentially over time, with the rate of increase proportional to the current value of the quantity, resulting in rapid growth. The formula for an exponential growth function is y = a * (1 + r)^t, where 'a' is the initial quantity, 'r' is the growth rate, and 't' is time.


What describes the initial of clouds of dust and gas?

nebulae


If a cricket jumps off the ground with an initial vertical velocity of 4 ft per second what is an equation the height in ft of the crisket as a function of time in seconds since it jumped?

4ft*Ns=H


How does angle of projection affect the maximum height?

The angle of projection affects the maximum height by determining the vertical and horizontal components of the initial velocity. At 90 degrees (vertical), all the initial velocity is vertical which results in maximum height. As the angle decreases from 90 degrees, the vertical component decreases, leading to a lower maximum height.


What is the derivative of the position function?

the velocity function v= at + v(initial)


Will a ball drop rest reach the ground quicker than the one lunched from the same height but with and initial horizontal velocity?

No. What counts in this case is the vertical component of the velocity, and the initial vertical velocity is zero, one way or another.