Question

area under v-t graph represents:
force
speed
acceleration
displacement

Explanation:

In a velocity - time (v - t) graph, velocity ($v$) is on the y - axis and time ($t$) is on the x - axis. The area under a graph is calculated by integrating the function (or using the formula for the area of the shape formed by the graph, time axis, and vertical lines at specific times). The formula for displacement ($s$) is given by the integral of velocity with respect to time, i.e., $s=\int v\mathrm{d}t$. Geometrically, this integral represents the area under the $v - t$ graph. Force is related to mass and acceleration ($F = ma$), speed is the magnitude of velocity, and acceleration is the rate of change of velocity (the slope of the $v - t$ graph, not the area). So the area under the $v - t$ graph represents displacement.

Answer:

displacement