Question

A car accelerates from rest at 2m/s2 for 1600m. How long (seconds) did it take to go that distance?

Answer 1

Using the motion equation for acceleration and distance, the car takes 40 seconds to travel the 1600m distance when accelerating from rest at 2m/s².

Step-by-step explanation:

To calculate the time it takes for a car to accelerate from rest at 2m/s2 for 1600m, we can use the motion equation related to acceleration, distance, and time:

s = ut + (at2)/2

Since the car starts from rest, its initial velocity u is 0. Substituting the given values into the equation gives us:

1600m = (0)(t) + (1/2)(2m/s2)(t2)

This simplifies to:

1600m = (t2)(1m/s2)

Therefore, t2 = 1600s2, then taking the square root of both sides yields:

t = 40s

Hence, the car takes 40 seconds to travel the 1600m distance.