# What is the acceleration in this case? [closed]

An object travels from point "A" to "B" towords East with velocity of 10 m/s . And then it travels form point "B" to "C" towords North (CHANGE IN DIRECTION) again with velocity of 10m/s . So in this case :

1. There would be NO acceleration

2. Yes, there would be some acceleration

( I think answer should be (2), as acceleration is vector. Want to confirm, yes or no ? )

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 this is not a do my homework type of forum. Show us what you have done and where are you stuck – lurscher Dec 14 '11 at 15:11 The acceleration ${\bf a}:=\frac{d{\bf v}}{dt}$ is only defined for a differentiable velocity profile $t\mapsto {\bf v}(t)$. But OP's velocity profile $t\mapsto {\bf v}(t)$ is, in the most naive interpretation, not even a continuous function. In other words, the problem should include smooth information about how the turn is made in (the neighborhood of) the point $B$ in order to be able to estimate the acceleration. – Qmechanic♦ Dec 14 '11 at 15:13 It's just a conceptual question. I just wanna know, if there would acceleration or "NO" acceleration at all. To my knowledge, answer should be "YES", as acceleration is vector. I just wanna confirm if the answer is "YES". – Vishwas Gagrani Dec 14 '11 at 15:21 Well, you can safely rule out case (1). Do you know why? – Qmechanic♦ Dec 14 '11 at 15:30 Why rule out case ? I mean, is it because, the acceleration is supposed to occur ( and would have some numerical value) just because it changed direction ? – Vishwas Gagrani Dec 14 '11 at 15:43