Question

A honey bee is flying along a straight line (x-axis) according to the equation x = α + βt2, where α = 5 cm and β = 8 cm/s2. Its acceleration when velocity of honey bee is 18 m/s, is


8 cm/s2


16 cm/s2


4 cm/s2


Zero

Answer 1

Explanation:

i rthink 4is answer......

Answer 2

Acceleration of honey bee is 16m/s²

Given

A honey bee is flying along a straight line

The equation of motion is x = α + βt²

α = 5 cm

β = 8 cm/s2.

velocity = 18 m/s

To Find

We need to find it's acceleration.

Solution

The equation of motion is x = α + βt²  → (equation 1)

Velocity is the rate at which an object changes its position.

Velocity = Displacement / Time

i.e. differentiating the equation 1

we get,

    v = 2βt   → ( equation 2)

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt)

It is represented by the equation a = Δv/Δt.

hence differentiating equation 2

we get,

a = 2β

 

We know β = 8

Hence

     a = 2 × 8 = 16 m/s²

Acceleration of honey bee is 16m/s²

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