A cyclist rides in a straight line for 20 minutes. He waits for half an hour, then returns in a straight line to his sta
This is a displacement-time graph for a car travelling along a straight road. The journey is divided into 5 stages label
Fatima left home at 10:00 and cycled north-east in a straight line. The diagram shows a displacement-time graph for her
An electric train starts from rest at station and moves along a straight level track. The motion consists of three stag
Using the following data, draw a time-displacement graph for a moving object: | Time (s) | 0 | 2 | 4 | 6 | 8 | 10 | 12 |
Ahmed leaves home at 11:00 am. He cycles at a speed of for 90 minutes. He stops for half an hour. Ahmed then cycles hom
Dabeer leaves at 14:00. He drives at an average speed of for hours. Dabeer stops for 30 minutes. He then drives home a
A helicopter leaves Islamabad at 09:00. It flies for 45 minutes at . It lands for 20 minutes. The helicopter then return
The diagram shows the velocity-time graph of the motion of an athlete running along a straight track. For the first , he
The diagram shows the velocity-time graph of the motion of a cyclist riding along a straight road. He accelerates unifor
A particle moves in a straight line. The diagram shows a sketch of the velocity-time graph of the motion. The particle
A car is moving along a straight road. When , the car passes a point with velocity and this velocity is maintained unt
A particle moves along a straight line. The particle accelerates from rest to a velocity of in . The particle then move
A motorcyclist leaves a road junction at time . He accelerates from rest at a rate of for and then maintains the velo
A projectile is launched vertically upward from an initial height of 129 feet with an initial velocity of feet/s. (i) W
An object has its position defined by in feet. (i) What are the velocity and acceleration functions? (ii) What are the
A person is standing on top of the Minar-e-Pakistan and throws a ball directly upward with an initial velocity of . The
A particle moves along a line such that its position is: (i) Find for which the distance is increasing. (ii) Find for
The position of an object moving on a line is given by , where is in metres and is in seconds. (i) Determine the veloc
A particle moves along the -axis. The acceleration of at time seconds, when , is in the positive -direction. When ,
A particle moves along the positive -axis. At time seconds the velocity of is . When , is at the origin . Find the d
A particle moves along the -axis in a straight line so that, at time seconds, the velocity of is , where: At , is at
A particle moves along the positive -axis. At time seconds the velocity of is given by $$ v= \begin{cases}8 t-\frac{
A particle moves along the -axis. The acceleration of at time seconds is , measured in the increasing direction of .
A particle moves along the -axis and its acceleration after a given instant is given by . When , is moving with veloc
A car moving on a straight road is modelled as a particle moving along the -axis, and its acceleration , after a given i
A particle is moving with constant acceleration . It starts with an initial velocity and after time , it covers a dista
If is the position vector of a particle, find its domain, range at the given point, and its first and second derivative
Find the velocity and acceleration of the function at . (i) (ii) (iii) (iv) --- Background and Explanation Velocity
Find the scalar valued function in terms of the magnitude for the following vector functions: (i) (ii) (iii) (iv) --- B
Exercise 5.3 — Vector-Valued Functions: Velocity, Acceleration & Speed