Question

sally walks 10 meters forward and then 5 meters backwards. which statement most accurate describes the magnitude of her displacement and distance travelled?
a sally’s displacement is 5m less than her distance travelled.
b sally’s displacement is 10m less than her distance travelled.
c sally’s displacement is 5m greater than her distance travelled.
d sally’s displacement is 10m greater than her distance travelled.

Explanation:

Step1: Calculate Distance

Distance is total path length. Sally walks 10m forward and 5m backward, so distance = \(10 + 5 = 15\)m.

Step2: Calculate Displacement

Displacement is net change in position. Forward is positive, backward is negative. So displacement = \(10 - 5 = 5\)m.

Step3: Compare Displacement and Distance

Distance is 15m, displacement is 5m. The difference is \(15 - 5 = 10\)? No, wait: displacement (5m) is \(15 - 10 = 5\)m less than distance (15m)? Wait, no: distance is 15, displacement is 5. So displacement is \(15 - 5 = 10\) less? No, wait the options: Option A says displacement is 5m less than distance. Wait distance is 15, displacement is 5. 15 - 5 = 10? No, wait I miscalculated. Wait 10 forward and 5 backward: distance is 10 + 5 = 15m. Displacement is 10 - 5 = 5m. So displacement (5) is 10 less than distance (15)? No, 15 - 5 = 10? Wait option A: "Sally’s displacement is 5m less than her distance travelled." Wait 15 - 5 = 10, so that's not. Wait option A: maybe I misread. Wait the options:

A: Sally’s displacement is 5m less than her distance travelled.

Wait distance is 15, displacement is 5. 15 - 5 = 10, so that's 10 less. Wait maybe I made a mistake. Wait no: 10 forward, 5 backward. Distance: 10 + 5 = 15. Displacement: 10 - 5 = 5. So displacement (5) is 10 less than distance (15)? But option A says 5m less. Wait maybe the question is written wrong? Wait no, maybe I misread the options. Wait the image:

A: Sally’s displacement is 5m less than her distance travelled.

Wait distance is 15, displacement is 5. 15 - 5 = 10, so that's 10 less. But option A says 5m less. Wait maybe the problem is 10 forward and 5 backward: distance is 15, displacement is 5. So displacement is 10 less than distance? But option B says "Sally’s displacement is 10m less than her distance travelled." Wait maybe the options are:

Wait the user's image:

A: Sally’s displacement is 5m less than her distance travelled.

B: Sally’s displacement is 10m less than her distance travelled.

C: Sally’s displacement is 5m greater than her distance travelled.

D: Sally’s displacement is 10m greater than her distance travelled.

Wait maybe I misread. Let's recalculate:

Distance: 10 + 5 = 15m.

Displacement: 10 - 5 = 5m.

So displacement (5) is 15 - 5 = 10m less than distance (15)? But option B says 10m less. But the user's image:

Wait the user's text:

"A Sally’s displacement is 5m less than her distance travelled.

B Sally’s displacement is 10m less than her distance travelled.

C Sally’s displacement is 5m greater than her distance travelled.

D Sally’s displacement is 10m greater than her distance travelled."

Ah, I see, I misread option A and B. So:

Distance = 15m, Displacement = 5m.

So displacement (5) is 15 - 5 = 10m less than distance (15). So option B? But the user's image:

Wait the user's image:

A: 5m less

B: 10m less

C: 5m greater

D: 10m greater

So correct answer is B? But the user's initial problem:

Wait the user's question: "Sally walks 10 meters forward and then 5 meters backwards. Which statement most accurate describes the magnitude of her displacement and distance travelled?"

Distance: 10 + 5 = 15m.

Displacement: 10 - 5 = 5m.

So displacement (5) is 15 - 5 = 10m less than distance (15). So option B: "Sally’s displacement is 10m less than her distance travelled."

But the user's image shows:

A: 5m less

B: 10m less

So correct answer is B.

Answer:

B. Sally’s displacement is 10m less than her distance travelled.