d. Using the equation for Arc Length and the integration calculator, find the total distance traveled by the cannonball. Make sure to set up your integral appropriately and label all parts.

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Just need hlep with part d. thank you

2. (Kinematic Equations) In your first semester physics class, you'll learn the kinematics equations which
explain the simple movements of objects. The most important of them is given by.
1
s(t) = so + va t+=a₂t²
Where so, vo, and a, are the initial position, velocity, and acceleration at time t = 0.
Suppose a cannonball is shot from the top of a cliff directly upwards. For this problem, we will only be
looking at the vertical component of the cannonball's motion (nothing horizontal). The height of the
top of the cliff is 50m, the initial velocity of the cannonball exiting the cannon is 100 m, and the
acceleration acting on the cannonball is that of Earth's gravity, g -9,8 m/2
a. Construct the kinematic equation that describes the vertical motion of the cannonball.
b. Find s' (t).
A
c. Use the quadratic equation to find the time when the cannonball will hit the ground. Verify your
answer using a graphing utility.
Transcribed Image Text:2. (Kinematic Equations) In your first semester physics class, you'll learn the kinematics equations which explain the simple movements of objects. The most important of them is given by. 1 s(t) = so + va t+=a₂t² Where so, vo, and a, are the initial position, velocity, and acceleration at time t = 0. Suppose a cannonball is shot from the top of a cliff directly upwards. For this problem, we will only be looking at the vertical component of the cannonball's motion (nothing horizontal). The height of the top of the cliff is 50m, the initial velocity of the cannonball exiting the cannon is 100 m, and the acceleration acting on the cannonball is that of Earth's gravity, g -9,8 m/2 a. Construct the kinematic equation that describes the vertical motion of the cannonball. b. Find s' (t). A c. Use the quadratic equation to find the time when the cannonball will hit the ground. Verify your answer using a graphing utility.
d. Using the equation for Arc Length and the integration calculator, find the
total distance traveled by the cannonball. Make sure to set up your
integral appropriately and label all parts.
Transcribed Image Text:d. Using the equation for Arc Length and the integration calculator, find the total distance traveled by the cannonball. Make sure to set up your integral appropriately and label all parts.
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