A motorcycle starts from rest with an initial acceleration of 3.3 m/s?, and the acceleration then changes with distance s as shown. dv Determine the velocity v of the motorcycle when s = 250 m. At this point also determine the value of the derivative - ds 6.6 4.4 2.2 125 250 8, m Answers: V = i m/s dv ds a, m/s²

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

3. In Physics, the height of a free-falling object at a given time t is given by h = –16t² + v,t + h., where v, is the initial velocity, and h, is the initial height. A student throws a ball upward from a height of 48ft, initially at 32 ft/s. What is the maximum height of the ball?

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

Physics Question

If D+E = 6.0i and D - E = 21 – 4j: then Dequals a. 8î – 4j O b.4î – 2j OC. 2î – 4j O d. 6î

What is her velocity at 15 s?

A stone is dropped from rest near the surface of moon. The velocity of the stone after 3 seconds is [Given data : acceleration due to gravity of moon, 9moon = 1.6m/s2,acceleration due to gravity of earth, gearth = 9.8 m/s²] O a. +29.4m/s O b. -4.8m/s O c. -29.4m/s O d. +4.8m/s

The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?

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