Question 1

You drive 12.5 km in a straight line on a bearing of $250^{0}$. Write this as a position vector in the form $a\hat{i} +b\hat{j}$

Accepted Answer

$(-11.7\hat{i}-4.3\hat{j})m$

Answer

$(1.7\hat{i}-3.3\hat{j})m$

Answer

$(-7\hat{i}-1.3\hat{j})m$

Answer

$(12.7\hat{i}+2.3\hat{j})m$

Question 2

A car travels from rest to a speed of $50kmh^{-1}$ in 4 seconds. Find its acceleration.

Accepted Answer

$3.47ms^{-2}$

Answer

$5.47ms^{-2}$

Answer

$1.47ms^{-2}$

Answer

$4.47ms^{-2}$

Question 3

A bullet in a gun is initially at rest. When fired it is accelerated at a rate of $6.2×10^{5}ms^{-2}$ for $8.1×10^{-4}s$. What is the bullets final velocity?

Accepted Answer

$502.2ms^{-1}$

Answer

$202.2ms^{-1}$

Answer

$302.2ms^{-1}$

Answer

$402.2ms^{-1}$

Question 4

A rock is dropped from a tower. If it takes 3.6 seconds to reach the ground what is the height of the tower?

Accepted Answer

63.5m

Answer

53.5m

Answer

73.5m

Answer

83.5m

Question 5

If a ball is thrown up with a velocity of $15ms^{-1}$ how long will it take to come back to the height at which it was thrown?

Accepted Answer

3.06s

Answer

2.06s

Answer

4.06s

Answer

1.06s

Question 6

If a ball is thrown up by a man whose height is 1.8m with a velocity of $15ms^{-1}$ what is the maximum height the ball can reach?

Accepted Answer

13.3m

Answer

11.3m

Answer

12.3m

Answer

14.3m

Question 7

In the image shown. What is the acceleration in the first part of the journey from $t_{1}=0 $ to $t_{2}=4s$

Accepted Answer

$3ms^{-2}$

Answer

$2ms^{-2}$

Answer

$5ms^{-2}$

Answer

$4ms^{-2}$

Question 8

In the journey shown what is the total distance covered?

Accepted Answer

96m

Answer

76m

Answer

86m

Answer

106m

Question 9

Suppose a sailboat is in an ocean current that has a velocity of $2.2ms^{-1}$ on a bearing of $030^{0}$. It encounters a wind that has a velocity of $4.5ms^{-1}$ on a bearing of $140^{0}$. What is the resultant of the two vectors?

Accepted Answer

$(4\hat{i}-1.54\hat{j})m$

Answer

$(5\hat{i}-2.54\hat{j})m$

Answer

$(1\hat{i}-4.54\hat{j})m$

Answer

$(3\hat{i}-2.54\hat{j})m$

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