Given the path, find a decomposition of the acceleration vector à(t) into tangential and normal components at the point indicated. T(t) = (cos t, sin t, t) : at t = T

In the next sets, you are given the magnitude and one component. There is an ambiguity in determining the vector, because you can only determine the absolute value of the other component and not its sign; therefore, there are two possibilities. In these tables, you must enter the absolute value of the component and provide two angles for the vector, the first one assuming the other component is positive and the other assuming the component is negative. You must also provide two angles for the antiparallel vector in the same order. Set Set 5a 5b 6a 6b Ax Axl 32 -26 X Ayl 53.1 56.28 Ay 42 -21 ✓ ✓ Magnitude of A 62 62 Magnitude of A 72 64 Angle of A 58.93 301.07 114.8 245.2 Angle of A Angle of -A ✔ (pos Ay) 238.93 ✓(neg Ay) 121.07 ° ✔ (pos A,) 294.8 ✓(neg Ay) 65.2 X X (pos Ax) (neg A,) (pos Ax) (neg Ax) Angle of -A ✓(pos Ay) ✔(neg Ay) ✔° (pos Ay) (neg Ay) X (pos A) X(neg Ax) (pos Ax) (neg A₂)

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Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB| is: :

A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 mstraight west, then 210 m in a direction 45 ̊ east of south, and then 280 m at 30 ̊ east of north.After a fourth unmeasured displacement, she finds herself back where she started. Draw thediagram following her path, then solve for the magnitude and direction of the fourthdisplacement. You may also try drawing a scale diagram of the given vectors using your ruler andprotractor, then measure the fourth displacement to check your quantitative answer.

= 2. At any point of the curve x 3 cos t, y = 3 sin t, z = 4 t, find (i) Tangent vector (ii) Unit tangent vector

In the next sets, you are given the magnitude and one component. There is an ambiguity in determining the vector, because you can only determine the absolute value of the other component and not its sign; therefore, there are two possibilities. In these tables, you must enter the absolute value of the component and provide two angles for the vector, the first one assuming the other component is positive and the other assuming the component is negative. You must also provide two angles for the antiparallel vector in the same order. Set Set 5a 5b 6a 6b Ax |Axl 32 -26 Ayl Ay SENECIENTE 42 -21 Magnitude of A 62 62 Magnitude of A 72 64 Angle of A Angle of A 0 0 (pos A) (neg Ay) (pos Ay) (neg Ay) (pos A) (neg Ax) (pos A) (neg Ax) Angle of -A Angle of -A 0 0 (pos Ay) (neg A,) (pos Ay) (neg Ay) (pos A) (neg Ax) (pos A) (neg A₂)

PW-3 An elevator motor is capable of lifting a 2,500kg elevator 50.0m with a constant speed in 12.0 seconds. a) Apply Fet ma to find the force needed to lift the elevator. b) Find the power of the elevator motor in watts and in horsepower. (1H.P.-750W) c) If the power of the elevator motor is 200H.P., find the constant speed at which the 2,500kg elevator can be raised. d) If the power of the elevator motor is 200H.P., find the constant speed at which the elevator can be raised if the elevator and its contents have a mass of 4,000kg

Vector R has a magnitude of 10 m. Its z component is 8 m. What are the possible values for its y component? Express your answer in meters. If there is more than one answer, separate them by a comma.

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 247 m, and the car completes the turn in 33.0 s. Need the answer for C in degree format not coordinates  An x y coordinate axis is shown. Point A is located at a negative value on the y-axis, and an arrow points from point A to the right. A dotted line curves up and to the right in a quarter circle until it reaches point C on the positive x-axis. An arrow points directly upward from point C. Point B is on the dotted circle. A line drawn from the origin to point B makes an angle of 35.0° below the x-axis.   (a) Determine the car's speed. ___________ (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude       ___________ m/s2 direction _______________  ° counterclockwise from the +x-axis