A car moves along a horizontal road with constant velocity VO,z i (44 m/s) i Vo = until it encounters a smooth inclined hill. It climbs the hill with constant velocity Ủ1 = V1,z î + V1‚y Ĵ = (38 m/s)i + (4.2 m/s) j as indicated in the figure. The period of time during which the car changes its velocity is At = 3.6 s. Y Part (a) Enter a symbolic expression for the average acceleration vector of the car during the given time period in terms of the variables in the problem and the standard unit vectors. Part (b) What is the magnitude, in meters per squared second, of the car's acceleration during the given time period.

An elevator in the Taipei 101 skyscraper can start fromrest and accelerate to a maximum speed of 16 m>s with a constantacceleration of 1.1 m>s2. Through what distance does the elevatormove as it accelerates to its maximum speed?

A 20-kg child slides down a playground side with a constant acceleration of a=1.3m/s^2 parallel to the surface of the slide. The child starts sliding with an initial speed of V0. Refer to the figure

A body moves from:position (1.0 m)i− (3.0 m)j where its velocity is (2.0 m/s)i+ (0.5 m/s)jto position (−1.0 m)i+ (1.0 m)j where its velocity is (4.0m/s)iExpress the body’s displacement (vector) delta r.Express the body’s change in velocity (vector) delta v.

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

A cart is propelled over an its greatest y coordinate? xy plane with acceleration components a, = 6.8 m/s? and a, = -1.5 m/s2. Its initial velocity has components Vox = 7.3 m/s and voy = 12.4 m/s. In unit-vector notation, what is the velocity of the cart when it reaches Number Units

POSSIBLE POINTS: 7.32 Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long, straight downward incline with a speed of 2.95 m/s and accelerates at 3.76 m/s/s for 2.74 seconds until it reaches the bottom of the incline and then continues along an elevated section. Determine the length of the incline. BIUT T, 0/ 10000 Word Limit 2 3 4 5 67 8. 10 Nex Sign dut

A particle has an acceleration of a=2i + (t-1)j The velocity at t=0 is v0=-2i + 0j and is at the origin at t=0   What is the y  position when the x velocity is zero? answer in m

A ball on the ground is kicked at initial velocity of U and angle 30 degrees to the horizontal and lands at distance x₂ = 10 sqrt (3) m. The projectile motion of the ball is shown below. What is the time of flight in seconds? Round your answer to the nearest integer. Consider g to be 10 m/s². Y Ө U X1 x2 X

A football is kicked with an initial velocity of 9.1 m/s at an angle of 27.8°. If it hits the ground 1.5s later, how far does it travel? Answer: m