A bike is traveling to the left with a speed of 27\,\dfrac{\text m}{\text s}27 s m 27, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction when the rider slams on the brakes. The bike skids for 41.5\,\text m41.5m41, point, 5, start text, m, end text with constant acceleration before it comes to a stop.

Explanation:

Given

Speed v =27m/s

Distance covered after skidding = 41.5m

Acceleration a = ?

Using the equation of motion

v² =u²+2aS

27² = 0²+2a(41.5)

729 = 0+83a

a = 729/83

a = 8.78m/s²

Hence it's acceleration is 8.78m/s²

if the forces acting on an object are unbalanced, the object will accelerate in the direction of the net force on the object.

explanation:

this is best explained by having an understanding of newton's second law, which states that f=ma. you see, when the forces are unbalanced, net force (sum of all forces) is not zero. therefore making it necessary for the object to have an acceleration in the direction of the net force.