To find the time it takes for the stone to reach the highest point, we need to consider the motion of the stone under the influence of gravity.
When the stone is thrown upward, it will experience a deceleration due to gravity until it reaches its highest point, where its velocity becomes zero. At this point, the stone starts to fall downward.
The initial velocity of the stone is 15 m/s, and we assume that the acceleration due to gravity is approximately 9.8 m/s² (ignoring air resistance). At the highest point, the velocity becomes zero, so we can use the following equation to find the time taken to reach the highest point:
v = u + at
Here: v = final velocity (which is 0 m/s at the highest point) u = initial velocity = 15 m/s a = acceleration due to gravity = -9.8 m/s² (negative because it acts opposite to the upward motion)
0 = 15 m/s - 9.8 m/s² * t
Simplifying the equation, we have:
9.8 m/s² * t = 15 m/s
Now, we can solve for time (t):
t = 15 m/s / 9.8 m/s² ≈ 1.53 seconds
Therefore, the time it takes for the stone to reach the highest point is approximately 1.53 seconds.