Question

In an open space, arianna throws a tennis ball at an angle of 26∘ to the horizontal with an initial velocity of 78 feet per second. if the tennis ball is released at a height of 4 feet, after how many seconds does the tennis ball reach maximum height?

Answer 1

To find the time it takes for the tennis ball to reach maximum height, we need to consider the projectile motion of the ball. The time of flight for a projectile is given by the formula: Time of flight = 2 * (initial vertical velocity) / (acceleration due to gravity).

Step-by-step explanation:

To find the time it takes for the tennis ball to reach maximum height, we need to consider the projectile motion of the ball. The time of flight for a projectile is given by the formula:

Time of flight = 2 * (initial vertical velocity) / (acceleration due to gravity)

In this case, the initial vertical velocity is given by the formula:

Initial vertical velocity = (initial velocity) * sin(angle)

Plugging in the values, we get:

Initial vertical velocity = 78 ft/s * sin(26°)

Once we calculate the initial vertical velocity, we can substitute it into the time of flight formula to find the time it takes for the tennis ball to reach maximum height.