When a ball is kicked in the air its height in meters above the ground can be modeled by?

When a soccer ball is kicked in the air, its height in meters above the ground can be modeled by h() = -4.912 + 14.7t and the distance it travels can be modeled by d() = 16t, where t is the time in seconds.

How long did it take the ball to reach its maximum height?

It takes about 88 seconds for the cannonball to reach its maximum height (ignoring air resistance). You have 176 seconds, or 2 minutes and 56 seconds, until the cannonball destroys the cannon that fired it.

How do you find the height of a ball in physics?

How to find the maximum height of a projectile?

1. if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.
2. if α = 45°, then the equation may be written as:
3. if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that’s the case of horizontal projectile motion.

How do you calculate height in meters?

Since height is normally given in both feet and inches when these units are in play rather than using a decimal, the easiest way to convert height from feet to meters is to convert height entirely to inches and then divide by 39.37 to get meters. For example, 5 ft 10 in is 70″, and 70/39.37 = 1.778 m.

How do you solve for height in physics?

h = v 0 y 2 2 g . h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.

How do you find the height of a thrown football?

The function h(t) = − 5t2 + 20t + 2 gives the approximate height, h meters, of a thrown football as a function of the time, t seconds, since it was thrown. The ball hit the ground before a receiver could get near it. a) How long was the ball in the air? About 4.1 seconds. How long was the ball in the air?

What is the height of the ball in feet?

The height in feet of the ball can be modeled by the equation h = -16t 2 + 20t + 6 where t is the time in seconds, the ball is A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t 2 + 20t + 6 where t is the time in seconds, the ball is in the air.

What is the height h above the ground of a baseball?

Question 133135: The height h (in feet) above the ground of a baseball depends upon the time t (in seconds) it has been in flight. Cameron takes a mighty swing, but hits a bloop sinlge whose height is described approximately by the equation h=80t-16t^2.

What is the formula for launching a projectile from a height?

Fortunately in the case of launching a projectile from some initial height h, we need to simply add that value into the final formula: hmax = h + V² * sin (α)² / (2 * g)