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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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 Motorboat Is Travelling with a Velocity of 40 Ft/sec