Two balls are rolled across a flat surface. Each ball has an initial velo given

Question

Two balls are rolled across a flat surface. Each ball has an initial velo given an acceleration that is twice that of Ball B. After a time travelled by Bali A (%) have travelled compared to Ball B (s)? 4. t, how will the distance A 4X8 5. A ball is thrown directly upward, as pictured to the right, where the arrow indicates the ball's velocity vector. What statement is true about the direction of the ball's acceleration when the ball travelling up (Point 1 in the picture)? a) The acceleration is up. The acceleration is down. c The acceleration is to the left. d) The acceleration is to the right. e) The acceleration is zero.

Explanation / Answer

4) b) xA =2*xB

let a is the acceleration of the ball B then 2*a is the acceeration of the ball A.

distance travelled by ball A in t time
xA = voA*t + (1/2)*2*a*t^2

= 0 + a*t^2

= a*t^2

distance travelled by ball B in t time
xB = voB*t + (1/2)*a*t^2

= 0 + (1/2)*a*t^2

= (1/2)a*t^2

xB = xA/2

==> xA = 2*xB

5) b) the acceletaion is down

we know, acceleration due to gravity always points downward as the gravitational force always towards the center of the earth.

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