a) A particle moves along the x-axis so that the position s is given as a function of time t by () 2 10t = ts, t ? 0. Position s and time t have denominations, meters and seconds, respectively. i) What is the average velocity of the particle between 0s = t and 2? s = t ii) What is the momentary velocity of the particle at time 1? s = t b) (continuation of task a) Assume that the particle has mass 2kg = m. How much net force (resultant force) acts on the particle at time 2? S = t c) You are on frictionless horizontal ice and standing still at a point A. Another point, B, is several meters away and you want to get there. i) Can you manage to reach point B if you only take a strong enough rate? Justify the answer briefly (the justification should be based on Newton's laws). ii) Then assume that you take off your hat and stand on it when you make a bet. Can you now manage to get to point B (without a hat)? Justify the answer briefly. d) You are hunting and have just fired a shot with the shotgun at a grouse in horizontal flight over you. Consider both the hail charge and the grouse as point masses as at any time is in a vertical xy plane (see figure below). The grouse has a mass of 0.5kg, while the hail charge has a mass of 0.025kg

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