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Small frogs that are good jumpers are capable of remarkable accelerations. One species reaches a takeoff speed of3.7 m/s in60 ms . Part a what is the frog's acceleration during the jump?

Respuesta :

Blacklash

We know that acceleration is change in velocity by time taken for that change.

In this case velocity change is 3.7 m/s

Time taken for this change = 60 ms = [tex]6 *10^{-3} seconds[/tex]

So acceleration of frog  = [tex]\frac{3.7}{60*10^{-3}}[/tex]

                                       = 61.66 m/[tex]s^2[/tex]

So acceleration of frog is 61.66 m/[tex]s^2[/tex]

o it is evident that frog is capable of remarkable accelerations.

johanrusli

The frog's acceleration during the jump is 62 m/s²

Further explanation

Acceleration is rate of change of velocity.

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

Given:

initial speed = u = 0 m/s

final speed = v = 3.7 m/s

time taken = t = 60 ms = 0.06 s

Unknown:

acceleration = a = ?

Solution:

To find the acceleration of th frog, it can be done in the following way:

[tex]a = \frac{v - u}{t}[/tex]

[tex]a = \frac{3.7 - 0}{0.06}[/tex]

[tex]a = \frac{185}{3}[/tex]

[tex]a \approx 62 ~ m/s^2[/tex]

Conclusion:

The frog's acceleration during the jump is 62 m/s²

Learn more

  • Velocity of Runner : https://brainly.com/question/3813437
  • Kinetic Energy : https://brainly.com/question/692781
  • Acceleration : https://brainly.com/question/2283922
  • The Speed of Car : https://brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate, Frog , Jump

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