Final answer:
The sled takes approximately 3.77 seconds to go 13 m down the hill. To find out how long it takes the sled to go 13 meters down the hill with an initial acceleration of 1.1 m/s2, we can use the kinematic equation that relates distance (s), acceleration (a), and time (t):
Step-by-step explanation:
To find the time it takes for the sled to go 13 m down the hill, we can use the kinematic equation:
d = v0t + 0.5at2
Here, d = 13 m (distance), v0 = 0 m/s (initial velocity), and a = 1.1 m/s2 (acceleration).
Plugging in these values, we get:
13 = 0 x t + 0.5 x 1.1 x t2
Simplifying the equation gives us a quadratic equation:
0.55t2 = 13
Solving for t gives us:
t = √(13/0.55)
Calculating t, we find that it takes approximately 3.77 seconds for the sled to go 13 m down the hill.
It takes approximately 4.86 seconds for the sled with an acceleration of 1.1 m/s^2 to travel 13 meters down the hill.
To find out how long it takes the sled to go 13 meters down the hill with an initial acceleration of 1.1 m/s2, we can use the kinematic equation that relates distance (s), acceleration (a), and time (t):
s = ½ a t2
We know the distance (s) is 13 meters, and the acceleration (a) is 1.1 m/s2. Using this information, we can solve for the time (t):
13 = ½ * 1.1 * t2
This simplifies to:
13 = 0.55 * t2
Dividing both sides by 0.55 gives:
t2 = 13 / 0.55
t2 = 23.6364
Finally, taking the square root of both sides gives:
t = √23.6364
t ≈ 4.86 seconds
Therefore, it takes approximately 4.86 seconds for the sled to travel 13 meters down the hill.