College

A ball is thrown upward with an initial velocity of 11 m/s. Using the approximate value of [tex]g = 10 \, \text{m/s}^2[/tex], how high above the ground is the ball at the following time?

(a) 2.00 s after it is thrown

Answer :

Final answer:

2 seconds after being thrown with an initial velocity of 11 m/s, the ball is 2 meters above the ground, calculated using the kinematic equation for position under constant acceleration.

Explanation:

To determine how high above the ground the ball is at 2.00 seconds after being thrown with an initial velocity of 11 m/s, we can use the kinematic equation for position under constant acceleration:

s = ut + ½ at²

where:

  • s is the displacement (height in this case)
  • u is the initial velocity (11 m/s upward)
  • t is the time (2.00 s)
  • a is the acceleration (using g = -10 m/s² downward)

Plugging the values into the equation, we get:

s = (11 m/s)(2.00 s) + ½(-10 m/s²)(2.00 s)²

s = 22 m - 20 m

= 2 m

Thus, the ball is 2 meters above the ground 2 seconds after it is thrown.