The graph of an object moving with speed v for a time t is shown below. The graph that shows the distance s travelled by the same object for a time t is

Step-by-step solution

Since v = ds dt , the slope of the s - t graph equals speed at every instant. At t = 0 : v = 0 - t graph starts with zero slope (horizontal tangent). First half (increasing v ): slope of s - t increases curve bends upward (concave up). At peak v : steepest slope on s - t graph (inflection point). Second half (decreasing v ): slope decreases curve bends downward (concave down). At end: v = 0 again slope returns to zero (curve flattens). Since speed is always 0 , distance never decreases. The s - t graph starts flat,