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1. A student moved East along vector V, and North of East along vector V2 as sho

ID: 1882169 • Letter: 1

Question

1. A student moved East along vector V, and North of East along vector V2 as shown in the diagram. If the magnitude of V, is 7,x -5, and y 3, Determine (a) The magnitude of V2 Vi (b) The magnitude of R (c) The direction of R An object moving with uniform acceleration has a velocity of 5.0 m/s in the positive x direction when its x coordinate is 3.0 m. If its x coordinate 4 s later is -2.0 m, what is i acceleration? 2. 3. A ball is thrown straight up with an initial velocity of 30 m/s (a) How long did it take to reach maximum height? (b) What is the maximum height reached by the ball?

Explanation / Answer

here,

1)

|v1| = 7

x = 5 , y = 3

a)

the magnitude of v2 , |v2| = sqrt(x^2 + y^2)

|v2| = sqrt(5^2 + 3^2) = 4.9 units

b)

R = |v1| i + x i + y j

R = 7 i + 5 i + 3 j

R = 12 i + 3 j

the magnitude of R , |R| = sqrt(12^2 + 3^2)

|R| = 12.4 units

c)

the direction of R , theta = arctan(3/12)

theta = 14.04 degree North of East