A ball is thrown vertically upward with a

speed of 24.7 m/s from a height of 2.0 m.
How long does it take to reach its highest point? The acceleration of gravity is
9.81 m/s
2
.
Answer in units of s

To determine how long it takes for the ball to reach its highest point, we can use the kinematic equation for vertical motion:

v = u + at

Where:
- v is the final velocity (which is zero at the highest point since the ball momentarily stops before falling back down),
- u is the initial velocity (which is the given speed of 24.7 m/s),
- a is the acceleration (which is the acceleration due to gravity, -9.81 m/s^2, because it acts in the opposite direction to the ball's motion), and
- t is the time we want to find.

In this case, we need to rearrange the formula to solve for time:

t = (v - u) / a

Since the final velocity is zero at the highest point, the formula becomes:

t = -u / a

Substituting the values given in the question:

t = -24.7 m/s / -9.81 m/s^2

Calculating this expression gives us:

t ≈ 2.52 seconds

Therefore, it takes approximately 2.52 seconds for the ball to reach its highest point.