The velocity of a particle travelling in a straight line is given by v(t) = 50 – 10e-0.5t m/s, where t>0, t in seconds. a State the initial velocity of the particle. b Find the velocity of the particle after 3 seconds. c How long would it take for the particle's velocity to increase to 45 m/s? d Discuss v(t) as t→o. e Show that the particle's acceleration is always positive. f Draw the graph of v(t) against t. g Find the total distance travelled by the particle in the first 3 seconds of motion.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 32P: An object moves with constant acceleration 4.00 m/s2 and over a time interval reaches a final...
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I need help with this parts f and g with work shown please. thank you.
4 The velocity of a particle travelling in a straight line is given by v(t) = 50 – 10e-0.5t
m/s, where t> 0, t in seconds.
a State the initial velocity of the particle.
6 Find the velocity of the particle after 3 seconds.
c How long would it take for the particle's velocity to increase to 45 m/s?
d Discuss v(t) as t → ∞.
e Show that the particle's acceleration is always positive.
f Draw the graph of v(t) against t.
g Find the total distance travelled by the particle in the first 3 seconds of motion.
Transcribed Image Text:4 The velocity of a particle travelling in a straight line is given by v(t) = 50 – 10e-0.5t m/s, where t> 0, t in seconds. a State the initial velocity of the particle. 6 Find the velocity of the particle after 3 seconds. c How long would it take for the particle's velocity to increase to 45 m/s? d Discuss v(t) as t → ∞. e Show that the particle's acceleration is always positive. f Draw the graph of v(t) against t. g Find the total distance travelled by the particle in the first 3 seconds of motion.
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