Chapter 8 Kinematics in Linear Motion (8.2)

The constant velocity of a particle is known as

• positive velocity

• negative velocity

• zero velocity

• uniform velocity

Based on the displacement-time graph, the ____________ at any point of a particle moving in a straight line gives the rate of change of displacement with time.

• gradient of curve

• non-uniform velocity

• non constant rate

• curve

A particle moves along a straight line. Its displacement, s metre, at time t is given by s = 2t² - 32t + 4. Find the velocity of the particle when t = 1.

• 8 ms^-1

• -4 ms^-1

• 34 ms^-1

• -28 ms^-1

A particle moves along a straight line. The displacement, s metre, after t seconds is given by s = -2t² + 32t + 4. Find the time when the velocity of the particle is 12 ms^-1.

• 28 seconds

• 4 seconds

• 11 seconds

• 7 seconds

A particle moves along a straight line. The displacement, s cm, from a fixed point O after t seconds is given by s = 2t³ - 9t² - 24t + 8. Find the maximum displacement of the particle.

• -104 cm

• 104 cm

• 39 cm

• -39 cm

A particle that moves along a straight line with a velocity of v ms^-1 is given by v = -t² + 8t, t seconds after passing a fixed point O. Find the acceleration of the particle when t = 2.

• 4 ms^-2

• -4 ms^-2

• 12 ms^-2

• -12 ms^-2

A particle moves along a straight line through a fixed point O at time t seconds. Its velocity, v ms^-1, is given by v = 3t² - 9t. Find the time when the velocity is uniform.

• 1.5 seconds

• 0.5 second

• 1.2 seconds

• 1.25 seconds

A particle moves along a straight line through a fixed point O at time t seconds. Its velocity, v ms^-1, is given by v = 3t² - 9t. Find the range of time when the velocity decreases.

• 0 < t < 1.2

• t < 1.5

• 0 < t < 1.5

• t < 1.5

An object moves along a straight line with t time passes through a fixed point marked P. Given a = 6 - t, find the initial acceleration of the object.

• -6 ms^-2

• 6 ms

• 6 ms^-1

• 6 ms^-2

Given s = 2t³ - 9t² - 24t + 8 which is the displacement, s metre, at time t, in seconds, of an object thrown vertically upward from the floor. Find the acceleration of an object when it stops momentarily.

• -18 ms^-2

• -30 ms^-2

• 30 ms^-2

• 1.5 ms^-2