If the speed at x = 1, v(x = 1) = 3 m/s then the speed at x = 0, v(x=0) is:
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- A ski jumper starts from rest 47.5 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 18.0 m above the ground. Neglect air resistance. (a) What is her speed when she leaves the track? m/s(b) What is the maximum altitude she attains after leaving the track? m(c) Where does she land relative to the end of the track? mA rock is thrown (at an unknown angle) with a speed of 15.5 m/s from the top of a 32.9 m high cliff. What is the impact speed of the rock when it reaches the ground?6.00k, with t in seconds and r in meters. An electron's position is given by 7 = 4.00tî – 5.00t2 ĵ + (a) In unit-vector notation, what is the electron's velocity v (t)? (Use the following as necessary: t.) V (t) = m/s (b) What is v in unit-vector notation at t = 5.00 s? v(t = 5.00) = m/s (c) What is the magnitude of v at t = 5.00 s? m/s (d) What angle does v make with the positive direction of the x axis at t = 5.00 s? ° (from the +x axis)
- a ball which is dropped from the top of a building strikes the ground with a speed of 30m/s. assume air resistance can be ignored . what is the height of the building?If the Ramp above is 3 meters high, at an angle of 30 degrees, and the speed of the motorcyclist is 15 m/s, how many cars can he jump over? assume a car is 2 meters wide and 1.75 meters high.A rock is dropped from rest from a height h above the ground. It falls and hits the ground with a speed of 11 m/s. From what height should the rock be dropped so that its speed on hitting the ground is 22 m/s? Neglect air resistance.
- Consider the vectors a = i + 8j + 4k and b = 7i − 6j − 6k, where i, j, and k are mutuallyperpendicular unit vectors forming a right-handed system. (a) Calculate (vii) The angle between a and b, expressed in degrees to two decimal places.An object's position is given by r(t) = [a + ßt] î+ [y+ot²] 3 where • d = 2.86 m B 3.5 m/s • Ύ 3.15 m • σ = -4.1 m/s² t = 7.2 s = What is its speed v at t = 7.2 s?A ball is dropped (from rest) from a window and hits the ground with a speed of 7.0m/s. If the ball were dropped from double the height, what would be its speed (in m/s) when it hits the ground? Your Answer:
- A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a ramp of 61.8 degrees at a speed of 49 m/s. What would be the largest number of buses he can clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 10.0 m long? Use g = 9.8 m/s?. Your answer should be in the form of an integer number (e.g., 3 buses, not 3.4 buses).A stone is thrown with an initial speed of 15m/s at an angle of 53° above the horizontal from the top of a 35m building. If g=9.8m/s^2 and air resistance is negligable, then what is the speed of the rock as it hits the ground?Eleven times unit vector along X added to 7 times unit vector along Y gives ______ a) 11î + 7ĵ b) 7î + 11ĵ c) 7î + 7ĵ d) 11î + 11ĵ