Answer:
(a) 2.15 m/s
(b) 1.52 m/s
Step-by-step explanation:
(a) Given at the end of the slide:
s = 0.220 m
v = 0 m/s
t = 1.5 s
Find: a
s = vt − ½ at²
0.220 = (0) (1.5) − ½ a (1.5)²
a = -0.196 m/s²
Given for the full slide:
v = 0 m/s
a = -0.196 m/s²
t = 11.0 s
Find: u
v = u + at
0 = u + (-0.196) (11)
u = 2.15 m/s
(b) Given for the full slide:
a = -0.196 m/s²
v = 0 m/s
t = 11.0 s
Find: s
s = vt − ½ at²
s = (0) (11.0) − ½ (-0.196) (11.0)²
s = 11.8 m
Given at the midpoint:
s = 11.8/2 = 5.92 m
u = 2.15 m/s
a = -0.196 m/s²
Find: v
v² = u² + 2as
v² = (2.15)² + 2 (-0.196) (5.92)
v = 1.52 m/s