A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.5 m>s. Two seconds later the bicyclist hops on his bike and accelerates at 2.4 m>s2 until he catches his friend. (a) How much time does it take until he catches his friend

Answers

Answer 1

Answer:

4.28 s

Explanation:

after two seconds (2 s) His friends is

d = 3.5 m/s x 2 s = 7 meter ahead.

in this state, a bicylist start from initial velocity vo = 0 m/s and accelerat 2.4 m/s²

then, when bicylist reach his friend

t friend = t bicyclist = t

d bicylist = d friend + d

-------

d friend = 3.5 . t

d bicylist = vo . t + ½ a t²

d friend + d = vo . t + ½ a t²

3.5 t + 7 = 0 . t + ½ . 2.4 . t²

3.5 t + 7 = 1.2 t²

0 = 1.2 t² - 3.5 t - 7

t = -1.363 and t = 4.28

take the positive one


Related Questions

What force is required to give an object with mass 50 kg an acceleration of 8 m/s2 O A. 6.25 N O B. 58 N O C, 400 N O D, 250 N​

Answers

Answer:

C, 400 N

Explanation:

Given parameters:

Mass of object  = 50kg

Acceleration  = 8m/s²

Unknown:

Amount of force  = ?

Solution:

According to Newton's second law of motion;

       Force  = m a

m is the mass

a is the acceleration

 Now insert the parameters and solve;

   Force  = 50  x  8  = 400N

Uses of lens and mirror in daily life

Answers

Answer:

Decorating. Because mirrors reflect light, they create an illusion of open space by doubling whatever is in a room. ...

Safety. People use mirrors and lenses for safety. ...

Vision. Eye doctors use lenses to correct vision. ...

Magnification and Science. ...

Energy and Affirmation Techniques. ...

Photography. ...

A person who normally weighs 700 N is riding in an elevator that is moving upward but slowing down at a steady rate. If this person is standing on a bathroom scale inside the elevator, what would the scale read?

Answers

Answer:

The scale will read less than 700 N

Explanation:

Given;

normal weight of the person, W = 700 N

The upward acceleration of the elevator is given by Newton's second law of motion;

F = ma

Also, the weight of the person, W = mg

Net force on the person when the elevator accelerates upward is given as;

R = ma + mg

When the elevator slows down at a steady rate, then net force on the person is given as;

R = mg - ma

R = m(g - a), this net force on the person is also the reading of the scale.

Thus, the scale will read less than 700 N.

Answer: The answer is less than 700 N

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