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A Motorboat Is Travelling with a Velocity of 40 Ft/sec

Question 51

Multiple Choice

A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s = -k A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec.
(a) What is the value of k?
(b) When will the boat slow to 5 ft/sec?


A) (a) k = A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s (b) 70 s
B) (a) k = A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s (b) 700 s
C) (a) k = A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s (b) 140 s
D) (a) k = A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s (b) 100 s
E) (a) k = A motorboat is travelling with a velocity of 40 ft/sec when its motor shuts off at time t = 0. Thereafter its deceleration, due to water resistance, is given by   = -k   where k is a positive constant. After 10 seconds, the boat's velocity is measured to be 20 ft/sec. (a)  What is the value of k? (b)  When will the boat slow to 5 ft/sec? A)  (a)  k =   (b)  70 s B)  (a)  k =   (b)  700 s C)  (a)  k =   (b)  140 s D)  (a)  k =   (b)  100 s E)  (a)  k =   (b)  250 s (b) 250 s

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