Question

You're driving at speed v0 when you spot a stationary moose on the road, a distance d ahead. Find an expression for the magnitude of the minimum constant acceleration you need if you're to stop before hitting the moose. Note: be careful when inputting the square of a variable that has a subscript. For example, the square of v0 should be entered v02 . Don't enter v20 or v02 ! Feel free to use parenthesis to make sure your answer is interpreted correctly. Express your answer in terms of the variables v0 and d. a=

Answer #1

Initial distance of the moose from you = d

Your initial speed = V_{0}

Your final speed = V_{1} = 0 m/s (Stops before hitting
the moose)

Your acceleration = a

For minimum acceleration you need to come to rest just before the moose that is you to come to rest by traveling a distance 'd'.

(V_{1})^{2} = (V_{0})^{2} +
2ad

(0)^{2} = (V_{0})^{2} + 2ad

The negative sign indicates that it is deceleration as you are slowing down.

We are asked for the magnitude of the acceleration therefore it will be positive.

**Your magnitude of minimum acceleration to stop just
before hitting the moose is given by,**

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