Answer:
4.12 seconds
Explanation:
Given:
v₀ = 11.5 m/s
a = 1.35 m/s²
x₀ = 0 m
x = 58.9 m
Find: t
x = x₀ + v₀ t + ½ at²
58.9 = 0 + (11.5) t + ½ (1.35) t²
58.9 = 11.5 t + 0.675 t²
0 = 0.675 t² + 11.5 t − 58.9
Solve with quadratic formula:
t = [ -11.5 ± √(11.5² - 4(0.675)(-58.9)) ] / 2(0.675)
t = (-11.5 ± √291.28) / 1.35
t = -21.2, 4.12
Since t must be positive, t = 4.12 seconds.
