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Q3. On mountainous downhill roads, escape routes are sometimes placed on the side of the road for trucks whose brakes might fail. Assuming a constant upward slope of 26, calculate the horizontal and vertical components of the acceleration of a truck that slowed from 110 kms to rest in 7.0 seconds 04 A 0.095 kg aluminum sphere is dropped frorn the roofof a 55-m-high building. If 65% of the thermal energy produced when it hits the ground is absorbed by the sphee, What is its temperature increase? What is the spheres original volume? Assume the sphere is solid. What is the spheres increase in volume? Q5 Vector is 6.6 units long and points along the negative x axis. Vector 12 is 8.5 units long and points at +55 degrees to the positive x axis. (a) What are the x and y components of each vector? (b) Determine the sum v-R + (magnitude and direction) (c) Draw a diagram of the three vectors on an xy coordinate system, (not to scale) 06. A projectile is fired with an initial speed of 36.6 ms at an angle of 42.2 above the horizontal a long flat firing range. Determine (a) The maximum height reached by the projectile (b) The total time in the air (c) The total horizontal distance covered by the projectile (d) The speed of the projectile I.50 s after firing.
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Answer #1

5.

(a)

VI,--66 units. Îly-0 1r

12r = 8.5 cos 55° units = 4.88 units, l 2y = 8.5sin 55 unit.s = 6.96 inits

(b)

vec V=(V_{1x}+V_{2x})hat x+(V_{1y}+V_{2y})hat y

-1.72T6.96ý

y-v/(-1.72)2 6.96-7.17 units

heta=180^{degree}- an^{-1}left ( rac {6.96}{1.72} ight )=132.42^{degree}

(c)

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