Determine the acceleration of A if the length of bar AO is 3 m and 0 = π/2 Select one: 2 a. 5i-3j m/s² O b. -4 i - 6 j m/s² 2 c. -7 i + 3 j m/s² d. 2i+ 6j m/s 2

If A = 8.0 i 4.0 j and B = 12 i 6.0 j, which of the following is the equation that relates A and B? A. A = (1/2) B B. A = (1/3) B C. A = (1/4) B D.A = (2/3) B E. A = (2/5) B

In Problems 37 to 40, evaluate the triple integrals. -2x 37. dz dy dx 38. dy da dz 2=0 y=82 -2 2y+%3 -2x 1/z 39. 6y dx dz dy 40. z dy dz dr. y=-2 Jz=1 Jx=y+z r=1 Jz=r

4.5G 9:30 D 86 A) Define the det productICl=C two vecters A and B which ane and B Bx+ By Bz in three-dimetaional Carteslan Coordinate System. glwen as A Axi+ A+ AzE 3) Defme Hhe creas above. product Ĉ d the two vecders Ä c) awte the followumg numbers usha engineenhg notaken and dhree (3) Siaificant Figunes (Ss). a ) 7, 560, 929 ii) 32 s i) 0.07 iv) 54.35 D) Determime ashich of the following quan Hhies scalarzs or vectozs, together with theiz wni'ts in SI system. i) length s are ii) mass ; ti) force : v) moment: Windows'u I Windows'u etkinl

Determine the magnitude of A+B. A = 2i – j+ 4k B= 4i + 2j– k A. V43 B. V46 C.-V46 D. V22

What is the value of coefficients A and B? Ix ₁ 15-2 w O 5/61,25/61 O 15/61,-35/61 O-5/61,-25/61 O 15/61, 35/61 72 VI 352 t Vo Ⓒ√x Vo-A√x + BIX 41

4. Answer the below questions using this graph. V(V) 4 6 40 30 20 10 0 0 2 a. What is Ex at 1m? Answer: b. What is Ex at 4m? c. What is Ex at 7m? -x(m) 8

The scalar product of a and b is defined to be a x b = |a||b| sin 0.a O a. b = |a||b| cose.b ax b = |a||b|cos 0 .c a. b = O |a||b| sin 0 .d O

3. The velocity of the body is given by V(t)=sin(xt), where the velocity is given in m/s and t is in seconds. The distance covered in meters between t=1/4 and ½ seconds is close to: A. -0.225 С. 1.2251 В. 0.225 D. 1 4. Evaluate the integral of xy with respect to y and to x, for the limits from x=0 to x=1, and the limits from y=1 to y=2. A. 7/9 C. % B. % D. 5/8

1%A9 li. t LTET 4G+ Vol) O A X O U 9:-7 Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- Az = 3 ,A, = -2 b- B, = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5t +7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s? for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 to do this. force to push his car along a road for 1000 m. It takes him500 s a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated. II