Recall that average velocity <em>v</em> is given by
<em>v</em> = ∆<em>x</em>/∆<em>t</em>
where ∆<em>x</em> is displacement and ∆<em>t</em> is time.
Under constant acceleration, average velocity is also equal to the average of the initial and final velocities,
<em>v</em> = (<em>v</em>₂ + <em>v</em>₁)/2
The player starts at rest, so <em>v</em>₁ = 0, and speeds up to <em>v</em>₂ = 5.45 m/s in a matter of ∆<em>t</em> = 3.02 s. So
∆<em>x</em> = (<em>v</em>₂ + <em>v</em>₁) ∆<em>t</em> / 2
∆<em>x</em> = (5.45 m/s) * (3.02 s) / 2
∆<em>x</em> ≈ 8.23 m
Answer:
2.47 s
Explanation:
Convert the final velocity to m/s.
We have the acceleration of the gazelle, 4.5 m/s².
We can assume the gazelle starts at an initial velocity of 0 m/s in order to determine how much time it requires to reach a final velocity of 11.1111 m/s.
We want to find the time t.
Find the constant acceleration equation that contains all four of these variables.
Substitute the known values into the equation.
- 11.1111 = 0 + (4.5)t
- 11.1111 = 4.5t
- t = 2.469133333
The Thompson's gazelle requires a time of 2.47 s to reach a speed of 40 km/h (11.1111 m/s).
heat = mass x spec heat x temp rise
40.5=15.4x10^-3xspec heatx11.2
Answer:
Inertia = angular momentum / angular velocity
