Answer:
The answer to your question is:
a) t = 3.64 s
b) vox = 31.59 m/s
c) vy = 35.71 m/s
d) v = 47.67 m/s
Explanation:
a) To calculate the time, we know that voy = 0 m/s so we this this formula
h = voy + 1/2(gt²)
65 = 0 + 1/2(9.81)(t²)
65 = 4.905t²
t² = 65/4.905 = 13.25
t = 3.64 s
b) To calculate vox we use this formula vox = d/t ; vox is constant
vox = 115/3.64 = 31.59 m/s
c) To calculate voy we use the formula vy = voy + gt
but voy = 0
vy = gt = 9.81 x 3.64 = 35.71 m/s
d) To calculate v we use the pythagorean theorem
c2 = a2 + b2
c2 = 31.59² + 35.71² = 997.92 + 1275.20
c2 = 2273.12
c = 47.67 m/s