Question 1

Paper 2Easy9 marks

A cart moves along a straight track in the positive xx-direction. Figure 1 shows its velocity vv as a function of time tt At t=0t=0 the cart is at x=5.0 mx=5.0\ \mathrm{m}

012345678012345678t / sv / m s-1
(a)

State the velocity of the cart at t=4.0 st=4.0\ \mathrm{s}

[1]
(b)

Determine the acceleration of the cart between t=2.0 st=2.0\ \mathrm{s} and t=6.0 st=6.0\ \mathrm{s}

[2]
(c)

Calculate the displacement of the cart between t=0t=0 and t=2.0 st=2.0\ \mathrm{s}

[1]
(d)

Calculate the displacement of the cart between t=2.0 st=2.0\ \mathrm{s} and t=6.0 st=6.0\ \mathrm{s}

[2]
(e)

State the acceleration of the cart between t=6.0 st=6.0\ \mathrm{s} and t=8.0 st=8.0\ \mathrm{s}

[1]
(f)

Determine the position of the cart at t=6.0 st=6.0\ \mathrm{s} using your answers to (c) and (d).

[2]

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