Particle in xy plane The position r of a particle moving in an xy plane isgiven

Question

Particle in xy plane The positionr of a particle moving in an xy plane isgiven by r = (2.00t3 - 5.00t) i + (8.00 - 4.00t4) j.Here r is in meters and t in seconds. (a) Calculate r for t= 2.40 s.
1????m i + 2????? m j + 3??? mk

(b) Calculate v for t = 2.40 s.
4????m/s i + 5??? m/s j + 6?????m/s k

(c) Calculate a for t = 2.40 s.
7?????m/s2i + 8???? m/s2j + 9?????? m/s2k

(a) Calculate r for t= 2.40 s.
1????m i + 2????? m j + 3??? mk

(b) Calculate v for t = 2.40 s.
4????m/s i + 5??? m/s j + 6?????m/s k

(c) Calculate a for t = 2.40 s.
7?????m/s2i + 8???? m/s2j + 9?????? m/s2k

Explanation / Answer

r=(2*2.43-5*2.4) i +(8-4*2.44)j=15.65 i-124.71 j v=dr/dt=(6t2-5) i-(16*t3)j=(6*2.42-5) i - (16*2.43) j=29.56 i -221.18 j a=dv/dt=12*t i - 48*t2=(12*2.4) i - (96*2.42)j=28.8 i - 276.48 j

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