A turtle is moving in a straight line. It\'s initial position is X 0 = -5 and it

Question

A turtle is moving in a straight line. It's initial position is X0 = -5 and it is moving away from the origin and slowing down. In this coordinate system, the signs (- or +) of the initial position, initial velocity, and acceleration are?

An object is thrown upwards with a velocity of 30 m/s near the surface of the eart. After 2 s, what would be the direction of the displacement, velocity, and acceleration? (using up or down as direction)

A 2 kg block rests at the edge of a platform that is 10 m above ground level. The block is launched horizontally from the edge of the platform with an initial speed of 3 m/s. The time it will take for the block to reach the ground is most nearly how many s?

Explanation / Answer

a. intial position is -ve (if origin is considered refrence pt and no sign if the intial position itself is considered as refrencepoint)

    intial velocity is +ve (becoz its starting and finally it becomes zero as it slows down)

    acceleraton is -ve (since the acceleration is differnce of velocity per unit time and final velocity is zero)

b. V= 30 m/s

time taken to reach max heiht Tmax = V/g = 30/9.8 = 3.061 sec

displacement upwards (since it is about to reach max height)

Velocity is upwards

acceleration is downwards ( because the acceleration due to gravity is towards the earth and the ball is thrown upwards)

c. m = 2kg

h = 10m

u =3m/s

v = ?

v^2 - u^2 = 2gh

v^2 - 9 = 2 x 9.8 x 10

v = 14.317m/s

t = v -u /g = 14.317 -3 /9.8 = 1.155s

time taken to reach ground is 1.155s

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