A particle mace aloof the x-air with an initial 50 ft ace at the mpa when Foe th

Question

A particle mace aloof the x-air with an initial 50 ft ace at the mpa when Foe the Cm 4 aetnrala the velocity and the a of the panicle lot the of t = 8 sce aft] f t = 12 sec. the maximum poaarrac a -coordinate ( reached by Ore particle Problem #2 The cat ahowtt an the of v_a = 100 km h m the Iced patio of the toad. When the 6-petccnl (tan theta = 6/ 100) incline n encountered. the detent after M change the Himmler celling an] the car at the read the aped of the car: 10 aeconda after paumg point A. and when s = 100 meters

Explanation / Answer

1) fot t = 8sec

particle deccelerates for (8-4) = 4 s

v = u + at = 50 + (-10 x 4) = 50 - 40 = 10 ft/s

using x = ut + at^2 /2    (when acceleration)

x = vt ( for constant speed)

x = (50 x 4) + [ (50 x 4) + (-10 x 4^2 / 2) ] = 320 m

for t = 10 s

decceleration for (10 - 4) = 6s

v = 50 + (-10 x 6) = -10 ft/s

x = (50 x 4) + [ (50 x 8) + (-10 x 8^2 / 2) ] = 280 m

2) lets first check when v becomes zero.

0 = 50 - 10t

t = 5 sec after 4 sec

so t = 5+4 = 9 sec

x = (50 x 4) + (50 x 5) + (-10 x 5^2 / 2) = 325 m

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