Answer:
d_total = 12 m
Explanation:
In this kinematics scenario illustrated in the graph provided, we determine the distance traveled over a 24-second duration.
The comprehensive distance can be calculated as follows:
d_total = d₁ + d₂ + d₃
Given that d₂ on the graph is level (v=0), its distance equates to zero, hence d₂ = 0.
The distance for d₁ is calculated as:
d₁ = 12 - 6 = 6 m
For distance d₃:
d₃ = 6 - 0 = 6 m
Thus, the overall distance covered is:
d_total = 6 + 0 + 6
d_total = 12 m
Answer:
option D.
Explanation:
The correct choice is option D.
For an object in equilibrium, the torque measured at any point will be zero.
An object is deemed to be in equilibrium when the net moment acting on it equals zero.
If the object experiences a net moment not equal to zero, it will rotate and will not remain stable.
Answer:
v = [√(g/2h)]L
Explanation:
Let v represent the initial horizontal speed, and t denote the duration James Bond takes to leap off the ledge of length, L.
Thus, we derive vt = L, which leads to t = L/v
Additionally, considering that Bond begins with no horizontal velocity, he descends freely over the height, h; thus the equation y - y' = ut - 1/2gt² is applicable, where y = 0 (top of the cliff) and y' = -h, u = 0 (initial vertical speed), g = acceleration due to gravity = 9.8 m/s², and t = the time required to leap from the cliff = L/v.
By substituting these parameters into the equation, we obtain
y' - y = ut - 1/2gt²
-h - 0 = 0 × t - 1/2g(L/v)²
-h = - 1/2gL²/v²
v² = gL²/2h
taking the square root of both sides gives us
v = [√(g/2h)]L
Therefore, James Bond's required minimum horizontal velocity is v = [√(g/2h)]L
