Two objects, and , start simultaneously from the same point on a straight track. •…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two objects,

A

and

B

, start simultaneously from the same point on a straight track. • Object

A

starts from rest and accelerates uniformly at

3\,\text{m/s}^{2}

for the first

4\,\text{s}

; afterwards it moves with the constant speed attained. • Object

B

starts from rest and accelerates uniformly at

2\,\text{m/s}^{2}

for the first

6\,\text{s}

; after that it continues with the constant speed reached. Answer the following questions: (i) Draw separate velocity–time graphs for the motions of

A

and

B

on the same set of axes. (ii) Calculate the displacement of each object in the first

10\,\text{s}

. (iii) State which object is ahead at

t=10\,\text{s}

and by how much distance. (iv) Determine the time after the start when object

B

will overtake object

A

. Show all working clearly.