The graph shows the speed at which a remote controlled toy helicopter travels during a test flight along a straight flight path. What is the acceleration (in m s-2) of the helicopter during the first t1 = 7.9 seconds, if it reached a maximum speed of 9.4 m s-1?

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BlackTom AI · Accepted Answer

To determine the acceleration during the first interval, we use the definition of constant acceleration: a = Δv / Δt.

From the graph and problem statement, the helicopter starts from rest (v0 = 0 m/s) and reaches a maximum speed of v = 9.4 m/s over the time t1 = 7.9 s.

Compute the change in velocity: Δv = v − v0 = 9.4 − 0 = 9.4 m/s.

Divide by the time interval: a = Δv / Δt = 9.4 m/s ÷ 7.9 s ≈ 1.1898734177 m/s².

Rounding considerations: depending on required precision, you might report a ≈ 1.19 m/s² or keep more digits as 1.1898734177 m/s².

Thus, the acceleration during the first 7.9 s is the rate at which the velocity increases from 0 to 9.4 m/s, given by the quotient above.

MUF0121 Physics Unit 1 - Semester 2, 2025 2.10 Graphical analysis of motion

The graph shows the speed at which a remote controlled toy helicopter travels during a test flight along a straight flight path. What is the acceleration (in m s-2) of the helicopter during the first t1 = 7.9 seconds, if it reached a maximum speed of 9.4 m s-1?

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