A ball is thrown vertically upward with a speed of 26.1 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
Tr = (V-Vo)/g = (0-26.1)/-9.81 = 2.66 s.
= Rise time.
To find the time it takes for the ball to reach its highest point, we can use the kinematic equation:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case, we want to find the time it takes for the ball to reach its highest point, so the final velocity would be zero m/s. The initial velocity is given as 26.1 m/s, and the acceleration due to gravity is -9.81 m/s^2 (negative because it acts in the opposite direction to the throw).
Substituting the values into the equation:
0 = 26.1 + (-9.81)t
Simplifying the equation:
-26.1 = -9.81t
Dividing both sides of the equation by -9.81:
t = -26.1 / -9.81
t ≈ 2.66 seconds
Therefore, it takes approximately 2.66 seconds for the ball to reach its highest point.