A ball which was at rest started rolling downhill and reached the base at a speed of 10m/s after 5 seconds .what is the acceleration of the ball?
Answers
Given data : A ball which was at rest started rolling downhill and reached the base at a speed of 10 m/s after 5 seconds.
To find : What is the acceleration of the ball ?
Solution : according to given,
⟹ initial velocity of ball = 0
⟹ final velocity of ball = 10 m/s
⟹ time taken by ba to reach at a speed of 10m/s = 5 sec
Now, we use kinematical equation to find acceleration of the ball.
⟹ v = u + at
where,
- v = final velocity
- u = initial velocity
- a = acceleration of the particle
- t = time taken by partical
Now, by formula
⟹ v = u + at
⟹ 10 = 0 + a * 5
⟹ 10 - 0 = a * 5
⟹ 10 = a * 5
⟹ a = 10/5
⟹ a = 2 m/s²
Answer : Hence, acceleration of the ball is 2 m/s².
More info :
KINEMATICAL EQUATION'S
- v = u + a * t
- s = [(u + v)/2] * t
- s = u * t + ½ * a * t²
- s = v * t - ½ * a * t²
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