Aturtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. the equation for the turtle's position as a function of time is x(t)=50.0cm+(2.00cm/s)t−(0.0625cm/s 2)t2. find the turtle's initial acceleration.

Acceleration is rate of change of velocity.

The equation of turtle's position as a function of time is given by:

Differentiate the above equation to find the velocity as a function of time:

Differentiating further, we would get the equation for acceleration:

Therefore, initial acceleration is

The turtle's initial acceleration is -0.125 cm/s²

Acceleration is rate of change of velocity.

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:

We will find the velocity function by deriving the displacement function above.

cm/s

Next, we will find the acceleration function by deriving the velocity function above.

cm/s²

The turtle's initial acceleration is -0.125 cm/s²

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate, Turtle , Initial , Differentiation

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s

compass can be used day and night, cloudy or sunny