Step-by-step explanation:
a) The cart starts at rest and travels 180 cm in 3.00 s.
Given:
s = 180 cm
u = 0 cm/s
t = 3.00 s
Find: a
s = ut + ½ at²
180 = (0) (3.00) + ½ a (3.00)²
a = 40.0 cm/s²
b) Since the angle of the ramp is the same, the acceleration is still 40 cm/s².
c) The displacement is now 95.0 cm.
Given:
s = 95.0 cm
u = 0 cm/s
a = 40.0 cm/s²
Find: t
s = ut + ½ at²
95.0 = (0) t + ½ (40.0) t²
t = 2.18 s