Question

A bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m s 2 0.50 s 2 m ​ 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. After 2.0 s 2.0s2, point, 0, start text, s, end text, the bee is moving to the right with a speed of 2.75 m s 2.75 s m ​ 2, point, 75, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. What was the velocity of the bumblebee right before the breeze? Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.

Answer 1

3.75 m/s

Step-by-step explanation:

Given that a bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m/s^2. After 2.0 s the bee is moving to the right with a speed of 2.75 m/ s

What was the velocity of the bumblebee right before the breeze?

Since the breeze blows with the acceleration of 0.5 m/s^2 for 2 seconds, we can calculate the magnitude of the velocity at which it moves.

Acceleration = velocity/ time

Substitute the acceleration and time into the formula

0.5 = V/2

Cross multiply

V = 2 × 0.5

V = 1 m/s

The bumblebee is travelling right ward while the wind travels leftward.

The relative velocity = 2.75 m/s

Let the bumblebee speed = Vb

While the wind = VW

Vb - Vw = 2.75

Substitute the wind speed into the formula

Vb - 1 = 2.75

Vb = 2.75 + 1

Vb = 3.75 m/s

Therefore, the velocity of the bumblebee right before the breeze is 3.75 m/s