A particle initially located at the origin has an acceleration of a leftarrow=1.

Question

A particle initially located at the origin has an acceleration of a leftarrow=1.00j m.s2 and an initial velocity of v leftarrow i=8.00i m/s. Find the vector position of the particle at any time t (where t is measured in seconds). Remember that there is a factor of 1/2 in the expression for distance as a function of time for constant acceleration. t2jm find the velocity of the particle at t-7.00 s. x= m y= m Find the speed of the particle at t=7.00 s. 15.65 Remember that the constant acceleration equations are used separately for the x direction and for the y direction. m/s An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 16.0 m if her initial speed is 2.20 m/s. What is the free-fall acceleration on the planet? (Ignore air resistance) 0.3025 m/s2

Explanation / Answer

v = u + a dt
v = 8i + 1t j
(a) the vector position ;
r = ro + v dt
= 0 + 8t i + t^2 j m
= 8t i + t^2 j m

(b)v = 8i + 1t j m/s

(c) r(7) = 56i + 49j m

(d) v(4) = 8i+ 7j
l vl = sqrt ( 8^2 + 7^2) = 10.6 m/s

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