A truck is pushed with an acceleration of 1.5 m/s^2. If the mass of the truck decreases by a factor of 4, what is the new acceleration on the
truck? *

6 m/s²

Explanation:

The following data were obtained from the question:

Initial mass (m1) = m

Initial acceleration (a1) = 1.5 m/s²

Final mass (m2) = decreases by a factor of 4 of the initial mass = m/4

Final acceleration (a2) =..?

Finally, we shall determine final acceleration of truck as follow:

Force (F) = mass (m) × acceleration (a)

F = ma

F = m1 × a1 = m2 × a2

m1 × a1 = m2 × a2

m × 1.5 = m/4 × a2

m × 1.5 = m × a2 /4

Cross multiply

m × 1. 5 × 4 = m × a2

m × 6 = m × a2

6m = m × a2

Divide both side by m

a2 = 6m/m

a2 = 6 m/s²

Thus, the new acceleration of the truck is 6 m/s²

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