angle a hitial speed v Is represented by: +(v, sina)t+ y, We also know that this motion represents a body whose acceleration only incorporates gravity. Lets assume we launch from (0,0) and th the ground is completely flat to keep it simple. Using the launch angle from your ID number and an initial speed of Ax1000 m/sec. a. Find the equation of the tangent line and the equation of the normal line to the object 2 seconds after launch. b. Find the tangential and normal component vectors of acceleration at that given time and show that they correctly add to the original acceleration vector. c. Find the angle each of these makes with the acceleration vector. d. What information do these two vectors provide you individually about the motion? This is a concept question about what the tangential and normal components always give in the decomposition.
angle a hitial speed v Is represented by: +(v, sina)t+ y, We also know that this motion represents a body whose acceleration only incorporates gravity. Lets assume we launch from (0,0) and th the ground is completely flat to keep it simple. Using the launch angle from your ID number and an initial speed of Ax1000 m/sec. a. Find the equation of the tangent line and the equation of the normal line to the object 2 seconds after launch. b. Find the tangential and normal component vectors of acceleration at that given time and show that they correctly add to the original acceleration vector. c. Find the angle each of these makes with the acceleration vector. d. What information do these two vectors provide you individually about the motion? This is a concept question about what the tangential and normal components always give in the decomposition.
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![use the angle of 30°. show all work please,
thanks!
1. We know that the 2-D ballistics motion curve for an object launched from initial position (x,,y,
with launch angle a and initial speed v, is represented by:
F() - (v, cosa) +*,-+(r, ina) + ,
+(v, sina)t + y,
We also know that this motion represents a
body whose acceleration only incorporates gravity. Lets assume we launch from (0,0) and the"
the ground is completely flat to keep it simple. Using the launch angle from your ID number and
an initial speed of Ax1000 m/sec.
a. Find the equation of the tangent line and the equation of the normal line to the object 2
seconds after launch.
b. Find the tangential and normal component vectors of acceleration at that given time and
show that they correctly add to the original acceleration vector.
c. Find the angle each of these makes with the acceleration vector.
d. What information do these two vectors provide you individually about the motion? This
is a concept question about what the tangential and normal components always give in
the decomposition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F840360ea-bba7-4544-8e13-acdeede2718a%2F502058ce-7bff-4437-8624-917606cd7701%2F7iws76y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:use the angle of 30°. show all work please,
thanks!
1. We know that the 2-D ballistics motion curve for an object launched from initial position (x,,y,
with launch angle a and initial speed v, is represented by:
F() - (v, cosa) +*,-+(r, ina) + ,
+(v, sina)t + y,
We also know that this motion represents a
body whose acceleration only incorporates gravity. Lets assume we launch from (0,0) and the"
the ground is completely flat to keep it simple. Using the launch angle from your ID number and
an initial speed of Ax1000 m/sec.
a. Find the equation of the tangent line and the equation of the normal line to the object 2
seconds after launch.
b. Find the tangential and normal component vectors of acceleration at that given time and
show that they correctly add to the original acceleration vector.
c. Find the angle each of these makes with the acceleration vector.
d. What information do these two vectors provide you individually about the motion? This
is a concept question about what the tangential and normal components always give in
the decomposition.
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