A bicyclist is riding to the left with a velocity of 14 \,\dfrac{\text m}{\text s}14 s m 14, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. After a steady gust of wind that lasts 3.5\,\text s3.5s3, point, 5, start text, s, end text, the bicyclist is moving to the left with a velocity of 21\,\dfrac{\text m}{\text s}21 s m 21, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. Assuming the acceleration is constant, what is the acceleration of the bicyclist?

-2.0 m/s²

Explanation:Acceleration is the rate of change of velocity.

\begin{aligned}a&=\dfrac{\text{Change in velocity}}{\text{Change in time}}\\ \\ &=\dfrac{v_f-v_i}{\Delta t} \end{aligned}

a

=

Change in time

Change in velocity

=

Δt

v

f

−v

i

Hint #22 / 3

We can calculate the bicyclist's acceleration from the final velocity v_fv

f

v, start subscript, f, end subscript, initial velocity v_iv

i

v, start subscript, i, end subscript, and time interval \Delta tΔtdelta, t.

\begin{aligned}a&=\dfrac{v_f-v_i}{\Delta t}\\ \\ &=\dfrac{-21\,\dfrac{\text m}{\text s}-(-14\,\dfrac{\text m}{\text s})}{3.5\,\text s}\\ \\ &=-2.0\,\dfrac{\text m}{\text s^2}\end{aligned}

a

=

Δt

v

f

−v

i

=

3.5s

−21

s

m

−(−14

s

m

)

=−2.0

s

2

m

Hint #33 / 3

The acceleration of the bicyclist is -2.0\,\dfrac{\text m}{\text s^2}−2.0

s

2

m

minus, 2, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction.

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.

the answer for apex is the lowest