The time taken for the object to travel the given height is determined as 12.48 seconds.
What is time of motion?
Time of motion of an object is the total time taken by the object to travel a given height or distance.
Time taken for the boulder to reach the ground
The time of motion of the boulder is calculated as follows;
h = vt + ¹/₂gt²
where;
- h is the height of fall
- v is the initial velocity
- t is the time of motion
- g is acceleration due to gravity
1300 = 43t + 0.5(9.8)t²
1300 = 43t + 4.9t²
4.9t² + 43t - 1300 = 0
solve the quadratic equation using formula method as shown below;
a = 4.9, b = 43, c = -1300
t = 12.48 seconds
Thus, the time taken for the object to travel the given height is determined as 12.48 seconds.
Learn more about time of motion here: https://brainly.com/question/2364404
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