Question

A bus traveling initially at a speed of 50 m/s slows down with a uniform acceleration of -10 m/s². How far does the bus travel in 4 seconds?

A) 120 meters
B) 140 meters
C) 160 meters
D) 180 meters

Answer 1

The bus travels 120 meters in 4 seconds while decelerating with a uniform acceleration of -10 m/s². The calculation uses the kinematic equation s = ut + ½at², where s is displacement, u is initial velocity, t is time, and a is acceleration.

Step-by-step explanation:

To determine how far the bus travels in 4 seconds while decelerating, we use the kinematic equation for uniformly accelerated motion:

s = ut + ½at²

where:

• s is the displacement (distance traveled)
• u is the initial velocity (50 m/s)
• t is the time (4 seconds)
• a is the acceleration (-10 m/s² due to deceleration)

Plugging the values into the equation gives:

s = (50 m/s * 4 s) + ½(-10 m/s² * (4 s)²)

s = (200 m) + ½(-160 m)

s = 200 m - 80 m

s = 120 m

Therefore, the bus travels 120 meters in 4 seconds while decelerating at -10 m/s².