If you mean that you throw the ball or the rock vertically and it gets no more boost
after that, then the required vertical launch speed is 99 meters per second.
Check:
-- Time for speed to dwindle to zero is 99/9.8 seconds .
-- Average speed during that time is 99/2 .
-- Distance = (average speed) x (time) = (99/2) x (99/9.8) = 500.051 meters. Close enough!
The time taken by the ball to reach the maximum height is 1 second. The maximum height reached by the ball is 36 meters.
Terminal velocity is typically reached within 10-12 seconds when falling from a height, depending on factors such as air resistance and the height of the fall.
After the collision, the maximum height the other ball will reach is determined by factors such as its initial velocity, mass, and angle of projection.
At the maximum height, the rock's final velocity will be 0 m/s. You can use the kinematic equation v_f = v_i + at to find the time it takes for the rock to reach its maximum height. Rearranging the equation to solve for time t, where a is the acceleration due to gravity, you can find the time it takes for the rock to reach its maximum height.
Well, let's think about this together. The horizontal distance the ball travels is 45 meters, and we know the initial horizontal velocity is 15 m/s. Using the formula for horizontal distance, time, and velocity, we can calculate the time it takes for the ball to reach the ground. Then, we can use this time in the vertical motion formula to find the height of the cliff. Remember, mistakes are just happy accidents in the world of math!
No. What counts in this case is the vertical component of the velocity, and the initial vertical velocity is zero, one way or another.
The time taken by the ball to reach the maximum height is 1 second. The maximum height reached by the ball is 36 meters.
The angle of projection significantly influences the maximum height an object can reach. When an object is projected at a higher angle, closer to 90 degrees, a greater portion of its initial velocity is directed upwards, resulting in a higher maximum height. Conversely, lower angles, while providing more horizontal distance, reduce the vertical component of the velocity and thus limit the height achieved. The optimal angle for maximum height is 90 degrees, where all the energy is used for vertical ascent.
Terminal velocity is typically reached within 10-12 seconds when falling from a height, depending on factors such as air resistance and the height of the fall.
After the collision, the maximum height the other ball will reach is determined by factors such as its initial velocity, mass, and angle of projection.
The maximum speed a cat can reach when falling from a great height, also known as its terminal velocity, is around 60 miles per hour.
At the maximum height, the rock's final velocity will be 0 m/s. You can use the kinematic equation v_f = v_i + at to find the time it takes for the rock to reach its maximum height. Rearranging the equation to solve for time t, where a is the acceleration due to gravity, you can find the time it takes for the rock to reach its maximum height.
It will fall with increasing velocity due to gravity and reach the peak velocity just before hitting the ground.
To determine the minimum height of a ladder needed to reach the top of the roof, measure the vertical distance from the ground to the top of the roof. This measurement will be the minimum height required for the ladder.
The maximum height the water will reach is 157 m.
Well, let's think about this together. The horizontal distance the ball travels is 45 meters, and we know the initial horizontal velocity is 15 m/s. Using the formula for horizontal distance, time, and velocity, we can calculate the time it takes for the ball to reach the ground. Then, we can use this time in the vertical motion formula to find the height of the cliff. Remember, mistakes are just happy accidents in the world of math!
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.