Question

A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of...

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

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Answer #1

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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