A ball is thrown vertically upward with a
speed of 27.3 m/s from a height of 2.1 m.
How long does it take to reach its highest point? The acceleration of gravity is
9.81 m/s2.
Answer in units of s
To find the time it takes for the ball to reach its highest point, we can use the equation of motion for vertical motion:
v = u + at
Where:
v = final velocity (0 m/s at the highest point)
u = initial velocity (27.3 m/s)
a = acceleration due to gravity (-9.81 m/s^2, negative because it acts in the opposite direction of the initial velocity)
t = time
At the highest point, the final velocity is 0 m/s. Therefore, we can rewrite the equation as:
0 = 27.3 - 9.81t
Now, let's solve for t:
9.81t = 27.3
Divide both sides of the equation by 9.81:
t = 27.3 / 9.81
Calculate the value:
t ≈ 2.785 seconds
Therefore, it takes approximately 2.785 seconds for the ball to reach its highest point.