MOTION IN THE STRAIGHT LINE Additional Mathematics [Assume motion to the right is positive] SPM

2008

A particle moves along a straight line and passes through a fixed point O. Its velocity, v 1ms , is given by 210 3v t t , where t is the time, in seconds, after passing through O. The particle stops instantaneously at a

point R. Find

a) the acceleration, in 2ms , of the particle at R,

b) the maximum velocity, in 1ms , of the particle,

c) the total distances, in m, travelled by the particle in the first 9 seconds, after passing through O.

2009

A particle moves in a straight line and passes through a fixed point O. The velocity of the particle,

v 1cms , is given by 215 4 3v t t , where t is the time in s, after leaving O. Find

a) the initial velocity, in cm s-1, of the particle,

b) the initial acceleration, in 2cms , of the particle,

c) the maximum velocity, in 1cms , of the particle,

d) the distance, in cm, from O when the particle stops instantaneously.

2010

A particle moves along a straight line such that its acceleration, a 2ms , is given by 10 2a t , where t is the

time, in seconds, after it passes through a fixed point O. The initial velocity of the particle is 1-16ms . Find

(a) the maximum velocity, in 1ms , of the particle,

(b) the range of values of t during which the particle moves to the right,

(c) the total distance, in m, travelled by the particle in the first 6 seconds.

2011

A particle moves along a straight line with an initial velocity of 15ms . Its acceleration, a 2ms , is given by

9 4a t , where t is the time, in second, after passing through a fixed point O. Find

(a) the time, in second, when its acceleration is zero,

(b) the maximum velocity, in 1ms , of the particle,

(c) the time, in second, when the particle stops instantaneously,

(d) the total distance, in m, travelled by the particle in the first 6 seconds.

2012

A particle moves along the straight line and passes through the fixed point O. Its velocity, v 1ms , is given by

8 4v t , where t is the time, in seconds, after leaving the point O. The particle stops instantaneously at point

L. Find

(a) the acceleration, in 2ms , of the particle,

(b) the time, in second, when the particle is at L,

(c) the velocity, in 1ms , of the particle when it passes through K,

(d) the total distance, in m, travelled by the particle from O to K passing through L.

2013

A particle moves along a straight line and passes through a fixed point O with a velocity of 112ms . The

acceleration, a 2ms , is given by 2 8a t , where t is the time, in seconds, after passing through the fixed

point O. Find

(a) the initial acceleration in 2ms of the particle

(b) the minimum velocity in 1ms of the particle

(c) the time in seconds when the particle is instantaneously at rest

(d) the total distance in m, travelled by the particle in the first 5 seconds fb.com/profesortikus