A car accelerates uniformly from rest to a

speed of 24.3 km/h in 5.8 s.
Find the distance it travels during this time.
Answer in units of m

v = 24300 m/3600s = a t = a (5.8)

so
a = 1.16 m/s

d = (1/2) a t^2 = .5 *1.16 * 5.8*5.8
= 19.6 meters

Good luck!

To find the distance traveled by the car during this time, we can use the formula:

distance = (initial velocity * time) + (0.5 * acceleration * time^2)

Since the car is starting from rest, the initial velocity (u) is 0.

Given:
initial velocity (u) = 0
final velocity (v) = 24.3 km/h = 24.3 * (1000/3600) m/s (converting km/h to m/s)
time (t) = 5.8 s

First, we convert the final velocity from km/h to m/s:

24.3 km/h * (1000 m/1 km) * (1 h/3600 s) = 6.75 m/s (rounded to two decimal places)

Now we can substitute the values into the equation:

distance = (0 * 5.8) + (0.5 * 0 * (5.8)^2)
distance = 0 + 0
distance = 0

The car travels a distance of 0 meters during this time.

To find the distance traveled by the car during this time, we can use the formula:

distance (d) = initial velocity (u) * time (t) + 0.5 * acceleration (a) * time (t)^2

Given that the car starts from rest (u = 0) and accelerates uniformly, we know that the initial velocity (u) is 0.

We are given the time (t) as 5.8 s, and we need to find the distance (d). However, we don't have the acceleration (a) directly given.

To find the acceleration, we can use the formula for uniform acceleration:

final velocity (v) = initial velocity (u) + acceleration (a) * time (t)

We know the final velocity (v) as 24.3 km/h. However, we need to convert it to m/s to match the unit of time (seconds).

1 km/h = (1000 m) / (3600 s) = 0.2777778 m/s

Therefore, the final velocity (v) in m/s is 24.3 km/h * 0.2777778 m/s = 6.7499983 m/s (approx).

Now we can plug in the values into the equation to find the distance traveled:

distance (d) = 0 * 5.8 + 0.5 * a * (5.8)^2

However, the "a" term can be simplified since the initial velocity (u) is 0:

distance (d) = 0.5 * a * (5.8)^2

Now we just need to solve for "d".