An object is projected vertically upwards with a velocity (gr) 1/2. What is the maximum height reached by the object if “R” is the radius of the earth and “g” is the acceleration due to gravity? a) R/2 b) R c) 2R d) 4R

QUESTION 2 Which of the following is an accurate statement? O A. It is possible to add a scalar quantity to a vector. O B. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero. OC. Rotating a vector about an axis passing through the tip of the vector does not change the vector. OD. The magnitude of a vector is independent of the coordinate system used. O E. The magnitude of a vector can be zero even though one of its components is not zero.

Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.

An object moves along the xy-plane. At some instant, its velocity and acceleration are - (3 m/s) } , ā = (0.5 m/s²) î – (0.2 m/s²) j. At this instant, the object is 7. = A. speeding up and following a curved path. B. speeding up and moving in a straight line. C. slowing down and following a curved path. D. slowing down and moving in a straight line. E. none of these.

3. A tennis ball is thrown up in the air. It's height is given by h(t) = -5t2 + 23t + 2, where h(t) is in meters and t is in seconds. Use technology to answer: a.) What is the max height of the tennis ball? When does it occur? b.) How long was the tennis ball in the air?

Nilo

Problem 1 - Unit Conversions A plane moves with speed v = 400 km/h; rewrite v in m/s. The density of iron is approximately p = 7.8 g/cm; what is the density of iron in kg/m? Problem 2 - Velocity and Acceleration A point particle moves along the r axis, and its position as a function time is given by the equation z(t) = At² – B ,

#2

One side of a triangle is a = 6 units in length and the hypotenuse is c = 8 units in length. How long is side b? 3.74 units 5.29 units 10.0 units 1.41units

1. Draw and label the vector with these components. Then determine the magnitu angle of the vector. a- A, = 3 ,Ay = -2 b- By = -2 ,By = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles- minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t² + 5 t +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 t gging so she accelerates at a rate of 0.5m/s² for 3 seconds. ow far did Julie travel from the time she started to accelerate to the end of the 3 seco 5. Ralph uses a 2000 N force to push his car along a road for 1000 m. It takes hin to do this. a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated.