What was the distance covered between point b and c

Question

ScanSolve AI Tutor · Accepted Answer

Here's the calculation for the distance covered between point B and C:

Identify the speeds and time interval for segment BC from the graph.
At point B, the speed is $20\, \text{m/s}$ at $t = 10\, \text{s}$ .
At point C, the speed is $40\, \text{m/s}$ at $t = 14\, \text{s}$ .
The time interval is $\Delta t = 14\, \text{s} - 10\, \text{s} = 4\, \text{s}$ .
Calculate the distance covered, which is the area of the trapezium under the graph for segment BC.
$\text{Distance} = \frac{1}{2} \times (\text{initial speed} + \text{final speed}) \times \text{time interval}$ $\text{Distance} = \frac{1}{2} \times (20\, \text{m/s} + 40\, \text{m/s}) \times 4\, \text{s}$ $\text{Distance} = \frac{1}{2} \times (60\, \text{m/s}) \times 4\, \text{s}$ $\text{Distance} = 30\, \text{m/s} \times 4\, \text{s}$ $\text{Distance} = 120\, \text{m}$
The distance covered between point B and C is $\text{120 m}$ .

Answer