Question

A car that's initially traveling at 10 m/s accelerates uniformly for 4 seconds at a rate of 2 m/s² in a straight line. How far does the car travel during this time?

A) 56 m
B) 62 m
C) 72 m
D) 86 m
Correct answer: B

Answer 1

A) 56m

Step-by-step explanation:

Let's use the motion equation s=ut+0.5at², where s is distance/displacement, u is initial velocity, t is time, and a is acceleration.

Were told the car is initially traveling at 10m/s (u=10), accelerates unifromly for 4s (t=4) at a rate of 2m/s² (a=2). Knowing the values for u, t, and a, we can sub these in to find s:

s=ut+0.5at²

s=10(4)+0.5(2)(4²)

s=40+16=56

So the correct answer is A) 56m