Answer:
6 m/s²
Step-by-step 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