A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 4.0 m/s2. What is the magnitude of the cart's displacement during the first 6.0 s of its motion?
a. 10 m
b. 55 m
c. 102 m
d. 66 m
given
u = initial velocity of 5.0 m/s
a = acceleration of 4.0 m/s2
t = 6.0 s
the magnitude of the cart's displacement is " s "
then using equation is
s = u t + 1/2 a t2
= 5 x 6 + 1/2 x 4 x 62
= 30 + 72
s = 102 m
the magnitude of the cart's displacement is s = 102 m
option " C " is correct.
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