A drone’s velocity components (in meters per second) at selected times are recorded…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
A drone’s velocity components (in meters per second) at selected times are recorded in the table below.
t (s)
0
1
2
3
4
5
vx
4
6
7
5
2
−1
vy
0
3
6
8
7
5
(a) Compute an approximation of the drone’s speed at each listed time.
(b) Using only the numerical information in the table, determine the time at which the speed appears to attain its greatest value on 0≤t≤5. Provide a justification based on your calculated speeds and any necessary comparisons.
(c) Using a left–Riemann sum with units of seconds for the subinterval widths shown in the table, estimate the total distance traveled by the drone over the five–second interval.