ADDMATH CHAPTER 8

A particle moves along a straight line and passes through a fixed point O. Its displacement, s m, is given by s = 2t² – 5t – 3, where t is the time in seconds after the movement begins. Find the instantaneous displacement, in m, of the particle when t = 0

• -2

• 0

• -3

• 3

A particle moves along a straight line and passes through a fixed point O. Its velocity, v ms–1, is given by v = t² – 8t + 7, where t is the time in seconds after passing through O. Find the instantaneous velocity, in ms–1, of the particle when t = 3.

• -8

• 5

• 7

• -9

A particle moves along a straight line and passes through a fixed point O. Its acceleration,

a ms–2, is given by a = 8 – 4t, where t is the time in seconds after passing through O. Find the instantaneous acceleration, in ms–2, of the particle when t = 4.

• -4

• 2

• -7

• -8

A particle moves along a straight line from a fixed point O. Its displacement, s m, t seconds after passing through O is given by s = 4t² + t. Calculate the total distance, in m, travelled by the particle when 0 < t < 4

• 66

• 67

• 68

• 69

A particle moves along a straight line and passes through a fixed point O. Its displacement, s m, t seconds after it starts moving is given by s = 6t – t² + 7. The particle moves to the right of O until t = 3 and then moves towards O again. Find the total distance, in m, travelled by the particle in the first 2 seconds

• 7

• 8

• 5

• 4

Determine the velocity function, v in terms of t for a particle that moves along a straight line in s = t(2 – t)²

• v = 4 - 8t + 3t²

• v = 8 + 4t - 3t²

• v = 4 - 4t - 6t²

• v = 8 + 8t + 6t²

Determine the velocity function, v in terms of t for a particle that moves along a straight

line in s = 2t³ – 4t² + 2t + 1

• v = 3t² - 8t +6

• v = 6t² - 4t +2

• v = 3t² - 4t +6

• v = 6t² - 8t +2

Determine the velocity function, v in terms of t for a particle that moves along a straight

line in s = t³ (3 + t)²

• 27t² - 12t³ + 5t⁴

• 27t² + 24t³ + 5t⁴

• 9t² + 24t³ - 5t⁴

• 9t² - 24t³ - 10t⁴

Determine the acceleration function, a in terms of t of a particle that moves along a straight line for s = t³ – 5t² + 7

• 3t + 10

• 3t - 5

• 6t - 10

• 6t + 5

Determine the acceleration function, a in terms of t of a particle that moves along a straight line for v = (5 – 3t)²

• 18t - 30

• 9t + 30

• 9t - 15

• 18t + 15