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May 2025 Section II

0/54 marks

2025 · 6 questions · 24 parts · 54 marks

0Correct0Partial0Wrong24Unattempted

1(A)1(B)1(C)1(D)2(A)2(B)2(C)2(D)3(A)3(B)3(C)3(D)4(A)4(B)4(C)4(D)5(A)5(B)5(C)5(D)6(A)6(B)6(C)6(D)

Context for question 5

Two particles,

H

and

J

, are moving along the

x

-axis. For

0 \leq t \leq 5

, the position of particle

H

at time

t

is given by

x_{H} (t) = e^{t^{2} - 4 t}

and the velocity of particle

J

at time

t

is given by

v_{J} (t) = 2 t (t^{2} - 1)^{3}

5(A)Kinematics with Variable AccelerationEasy2 marks

Find the velocity of particle

H

at time

t = 1

. Show the work that leads to your answer.

5(B)Kinematics: Constant Acceleration and Motion GraphsEasy3 marks

During what open intervals of time

t

, for

0 < t < 5

, are particles

H

and

J

moving in opposite directions? Give a reason for your answer.

5(C)Kinematics with Variable AccelerationEasy1 mark

It can be shown that

v_{J}^{'} (2) > 0

. Is the speed of particle

J

increasing, decreasing, or neither at time

t = 2

? Give a reason for your answer.

5(D)Kinematics with Variable AccelerationMedium3 marks

Particle

J

is at position

x = 7

at time

t = 0

. Find the position of particle

J

at time

t = 2

Filters0 active

May 2025 Section II

0/54 marks

2025 · 6 questions · 24 parts · 54 marks

0Correct0Partial0Wrong24Unattempted

1(A)1(B)1(C)1(D)2(A)2(B)2(C)2(D)3(A)3(B)3(C)3(D)4(A)4(B)4(C)4(D)5(A)5(B)5(C)5(D)6(A)6(B)6(C)6(D)

Context for question 5

Two particles,

H

and

J

, are moving along the

x

-axis. For

0 \leq t \leq 5

, the position of particle

H

at time

t

is given by

x_{H} (t) = e^{t^{2} - 4 t}

and the velocity of particle

J

at time

t

is given by

v_{J} (t) = 2 t (t^{2} - 1)^{3}

5(A)Kinematics with Variable AccelerationEasy2 marks

Find the velocity of particle

H

at time

t = 1

. Show the work that leads to your answer.

5(B)Kinematics: Constant Acceleration and Motion GraphsEasy3 marks

During what open intervals of time

t

, for

0 < t < 5

, are particles

H

and

J

moving in opposite directions? Give a reason for your answer.

5(C)Kinematics with Variable AccelerationEasy1 mark

It can be shown that

v_{J}^{'} (2) > 0

. Is the speed of particle

J

increasing, decreasing, or neither at time

t = 2

? Give a reason for your answer.

5(D)Kinematics with Variable AccelerationMedium3 marks

Particle

J

is at position

x = 7

at time

t = 0

. Find the position of particle

J

at time

t = 2