A football player kicks a football with a speed of 21.0 m/s at 37 degrees to the horizontal. How long is the ball in the air?
To solve this problem, we need to consider the vertical motion of the ball.
The initial vertical velocity of the ball can be found using the given speed and angle.
Vertical velocity (Vy) = initial speed * sin(angle)
Vy = 21.0 m/s * sin(37)
Vy = 12.6 m/s
Next, we can find how long the ball is in the air by using the equation:
Time of flight = (2 * Vy) / g
where g is the acceleration due to gravity (9.81 m/s^2).
Time of flight = (2 * 12.6) / 9.81
Time of flight = 2.57 seconds
Therefore, the ball is in the air for approximately 2.57 seconds.