A dolphin accelerates (from rest) at
-1.77 m/s? for 3.33 s. What is the dolphin's displacement?
To find the displacement of the dolphin, we need to use the equation of motion:
s = ut + (1/2)at^2
Where:
s = displacement
u = initial velocity (0 m/s in this case since the dolphin starts from rest)
t = time (3.33 s)
a = acceleration (-1.77 m/s²)
Substituting the values into the equation, we get:
s = (0)(3.33) + (1/2)(-1.77)(3.33)^2
s = 0 + (1/2)(-1.77)(11.0889)
s = -9.84 meters
Therefore, the dolphin's displacement is -9.84 meters. Note that the negative sign indicates direction, which in this case means the dolphin moved in the opposite direction of its initial position.
To find the dolphin's displacement, we can use the formula:
s = ut + (1/2)at^2
where:
s = displacement
u = initial velocity (0 m/s since the dolphin starts from rest)
a = acceleration (-1.77 m/s^2)
t = time (3.33 s)
Plugging in the given values:
s = (0)(3.33) + (1/2)(-1.77)(3.33)^2
Simplifying the equation:
s = 0 + (-1.77)(5.56)
Calculating:
s ≈ -9.8 m
Therefore, the dolphin's displacement is approximately -9.8 meters. Note that the negative sign indicates that the displacement is in the opposite direction of the initial position.
To calculate the dolphin's displacement, we need to use the formula for displacement:
displacement (d) = initial velocity (v₀) * time (t) + (1/2) * acceleration (a) * time squared (t²)
Given:
Initial velocity (v₀) = 0 m/s (rest)
Acceleration (a) = -1.77 m/s?
Time (t) = 3.33 s
Let's substitute the given values into the formula and calculate the displacement:
d = 0 * 3.33 + (1/2) * (-1.77) * (3.33)²
Now, we can solve this equation step by step:
d = 0 + (1/2) * (-1.77) * (3.33)²
= 0 + (-0.885) * (11.0889)
= -9.822
Therefore, the dolphin's displacement is -9.822 meters. The negative sign indicates that the dolphin moved in the opposite direction to its acceleration.