Worksheet 2.5 - Rates Of Change And Particle Motion I Worksheet Page 8
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8Calculus Maximus
WS 2.5: Rates of Change & Part Mot I
Multiple Choice
_____ 13. A violent storm system is in the Central Texas area is moving in a straight line through New
Braunfels. The Weather Service Office forecasts that t hours after mid-day, the storm will be a
2
=
+ −
distance of
miles from New Braunfels. How fast will the storm be moving at
s t
( ) 12
t t
2:00 pm, and in what direction, in relation to NB, will it be moving, respectively?
(A) 10 mph, towards NB
(B) 5 mph, towards NB
(C) 10 mph, away from NB
(D) 3 mph, towards NB
(E) 3 mph, away from NB
14. (Calculator Permitted) It took Mr. Wenzel from noon until 7 pm to drive from NB to his in-laws’
house North of Dallas 385 miles away. After t hours of driving, his distance from NB was given in
miles by
165
110
2
3
=
−
.
s t
( )
t
t
7
49
_____ (i) What was his average speed for the trip to his in-laws’?
(A) 53 mph
(B) 54 mph
(C) 55 mph
(D) 56 mph
(E) 57 mph
(F) 58 mph
_____ (ii) (Calculator Permitted) Mr. Wenzel’s instantaneous speed twice coincided with his average
speed. At what time did it first happen?
(A) 1:33 pm
(B) 1:28 pm
(C) 5:41 pm
(D) 5:31 pm
(E) 1:38 pm
_____ 15. (Calculator Permitted) If a rock is thrown vertically upwards from the surface of the planet
1
2
=
−
Newton with an initial velocity of 11 ft/sec, its height after t seconds is given by
h
11
t
t
.
2
Find the velocity of the rock after it has risen 56 feet.
− ft/sec
(A) 1
(B) 2 ft/sec
(C) 0 ft/sec
(D) 1ft/sec
(E) 3 ft/sec
_____ 16. (Calculator Permitted) A particle moves along a straight line with velocity given by
2
−
( )
(
)
t
= −
t ≥ . What is the acceleration of the particle at time
t = ?
v t
4
0.98
at time
0
4
−
−
(A) 0.223
(B) 2.618
(C) 8.284
(D) 0.010
(E) 0.092
Page 8 of 8
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