WAEC Past Questions and Answers - Page 2832

14,156.

A small object of mass 50 g is released from a point A. Determine the velocity of the object when it reaches a point B, a vertical distance of 30m below A. [g = 10 ms\(^{-2}\)

A.

1.5 ms\(^{-1}\)

B.

6.0 m s\(^{-1}\)

C.

17.3 m s\(^{-1}\)

D.

24.5 m s\(^{-1}\)

Correct answer is D

v = ?, u = 0, a = 10, s = 30

V² = U²+2as
V² = 0 + 2 * 10 * 30
V² = 0 + 600
V = √600
V = 24.5m/s 

14,157.

In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Calculate the value of y

A.

20

B.

25

C.

45

D.

65

Correct answer is B

xo + zo = 180o (sum of < on str. line)

45o + zo = 180o

zo = 180o - 45o

z = 135o

z + yo + 20o = 180o (sum of < s in \(\bigtriangleup\))

135o + yo + 20o = 180o

yo + 155o = 180o

yo + 180o - 155o

yo = 25o

14,158.

A quantity of water at 0 °C is heated to 30 °C. For each degree rise in temperature, its density will---------

A.

rise steadily

B.

fall steadily

C.

fall and then rises

D.

rise and then falls

Correct answer is D

When water is heated, the density rises and falls steadily, remember the anomalous expansion of water.

14,159.

In the diagram, ST is parallel to UW, < WVT = xo, < VUT = yo, < RSV = 45o and < VTU = 20o. Find the value of x

A.

20

B.

45

C.

65

D.

135

Correct answer is B

From the diagram SR//UW given that < RSV = 45o and < WVT = xo

< WVT = 45o(corresponding angle)

xo = 45

14,160.

The engine of a car provides a forward force of 1240 N and the total resistive force on the car is 800N. If the mass of the car is 1220 kg, determine the distance the car has to travel from the rest before acquiring a speed of 4 m s\(^{-1}\).

A.

44.0 m

B.

22.2 m

C.

11.1 m

D.

5.5 m

Correct answer is B

Acceleration[a] = \(\frac{[forward - resistive]force}{mass}\)

a = \(\frac{1240-800}{1220}\) → \(\frac{440-800}{1220}\)

a = 0.36m/s\(^2\),  v = 4m/s, s = ?

Second equation of motion:

s is distance
u is initial velocity
v is final velocity
a is acceleration

v\(^2\) = u\(^2\) + 2as

4\(^2\) = 0\(^2\) + 2 * 0.36 * s

16 =  0.72s 

22.2m = s