Find the velocity vector for the position vector r(t) = (sin(3t), 12t, e x component =...

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Find the velocity vector for the position vector r(t) = (sin(3t), 12t, e x component = y component = Z component = Submit Question Question 2 0/4 pts 5 1 Details Find the speed of the object whose position function is given by (t) = (6t + 6, 6t 6, t + 8t) at t = 4 10:13 AM Mon Feb 26 myopenmath.com @ 98% Question 4 X The position of an object at time t is given by the parametric equations Y = = 0/4 pts 5 1 Details = 2+2 +3t 2+2 +3 Find the horizontal velocity, the vertical velocity, and the speed at the moment where t about units in this problem. = : 1. Do not worry Horizontal Velocity = Vertical Velocity Speed = Question Help: Video Submit Question Find Components of the Acceleration Question 5 0/4 pts 51 Details || For the curve defined by r(t) = (e* cos(t), e* sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t I (113) N aT = aN = = Submit Question Question 6 T . 0/0 pts Details This question was withdrawn by the instructor. You do not need to complete this question. For the curve defined by r(t) = (et, 4t, e) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = 2. T(t) = (t) AT = = 10:13 AM Mon Feb 26 myopenmath.com Question 7 0/4 pts 51 Details Find the tangential and normal components of the acceleration vector for the curve r(t) = (5t, 4t, 5t) at the point t = 2 a(-2) T + N Give your answers to two decimal places Question Help: Video Submit Question Application: Projectile Motion Question 8 98% 0/4 pts 51 Details Question Details A baseball is hit from a height of 4.6 feet above the ground with an initial velocity of 100 feet per second ana at an angle of 36 above the horizontal. What is the maximum height reached by the baseball? Neglect air resistance. The fence at the edge of the field is 10 feet tall and located 360 feet from home plate. Will the ball pass over the fence? No Yes Submit Question Question 9 0/4 pts 51 Details A cannon is fired at an angle of 48 with the horizontal. If the cannonball has an initial velocity of 631 feet per second, how far (horizontally) will the shot travel? Assume the initial height of the projectile is 0 feet, and neglect air resistance. Submit Question Question 10 0/4 pts 51 Details A gun is fired with muzzle velocity 1034 feet per second at a target 4500 feet away. Find the minimum angle of elevation necessary to hit the target. Assume the initial height of the bullet is 0 feet, neglect air resistance, and give your answer in degrees. Find the velocity vector for the position vector r(t) = (sin(3t), 12t, e x component = y component = Z component = Submit Question Question 2 0/4 pts 5 1 Details Find the speed of the object whose position function is given by (t) = (6t + 6, 6t 6, t + 8t) at t = 4 10:13 AM Mon Feb 26 myopenmath.com @ 98% Question 4 X The position of an object at time t is given by the parametric equations Y = = 0/4 pts 5 1 Details = 2+2 +3t 2+2 +3 Find the horizontal velocity, the vertical velocity, and the speed at the moment where t about units in this problem. = : 1. Do not worry Horizontal Velocity = Vertical Velocity Speed = Question Help: Video Submit Question Find Components of the Acceleration Question 5 0/4 pts 51 Details || For the curve defined by r(t) = (e* cos(t), e* sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t I (113) N aT = aN = = Submit Question Question 6 T . 0/0 pts Details This question was withdrawn by the instructor. You do not need to complete this question. For the curve defined by r(t) = (et, 4t, e) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = 2. T(t) = (t) AT = = 10:13 AM Mon Feb 26 myopenmath.com Question 7 0/4 pts 51 Details Find the tangential and normal components of the acceleration vector for the curve r(t) = (5t, 4t, 5t) at the point t = 2 a(-2) T + N Give your answers to two decimal places Question Help: Video Submit Question Application: Projectile Motion Question 8 98% 0/4 pts 51 Details Question Details A baseball is hit from a height of 4.6 feet above the ground with an initial velocity of 100 feet per second ana at an angle of 36 above the horizontal. What is the maximum height reached by the baseball? Neglect air resistance. The fence at the edge of the field is 10 feet tall and located 360 feet from home plate. Will the ball pass over the fence? No Yes Submit Question Question 9 0/4 pts 51 Details A cannon is fired at an angle of 48 with the horizontal. If the cannonball has an initial velocity of 631 feet per second, how far (horizontally) will the shot travel? Assume the initial height of the projectile is 0 feet, and neglect air resistance. Submit Question Question 10 0/4 pts 51 Details A gun is fired with muzzle velocity 1034 feet per second at a target 4500 feet away. Find the minimum angle of elevation necessary to hit the target. Assume the initial height of the bullet is 0 feet, neglect air resistance, and give your answer in degrees.