Question 1

Paper 2, calculatorMedium5 marks

A particle moves along a straight line. Figure 1 shows its velocity, vv during the first 77 seconds of its motion. The graph consists of straight-line segments.

01234567-4-3-2-10123456t / sv / m s-1Figure 1
(a)

Determine the acceleration of the particle during the first 33 seconds. Give your answer with units.

[1]
(b)

Determine the displacement of the particle during the 77 seconds. Give your answer with units.

[2]
(c)

Hence, determine the total distance travelled by the particle during the 77 seconds. Give your answer with units.

[2]

More AA 5.2 Applications of differentiation questions