To find the time taken to reach the maximum height, we can use the equation of motion for vertical motion.
When the arrow reaches its maximum height, its final velocity (v) will be zero. The initial velocity (u) is given as 35 m/s, and the acceleration due to gravity (g) is approximately -9.8 m/s² (assuming upward as the positive direction).
The equation of motion for vertical motion is: v = u + gt
Since v is zero at the maximum height, we can rearrange the equation to solve for t:
0 = 35 - 9.8t
9.8t = 35
t = 35 / 9.8
t ≈ 3.57 seconds
Therefore, the time taken for the arrow to reach the maximum height is approximately 3.57 seconds.