1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stich3 [128]
3 years ago
9

A motorcyclist is trying to leap across a canyon by driving horizontally off the higher side of the canyon at a speed of 78.0 m/

s. If air resistance is neglected and the difference in height on two sides of the canyon is 252 m, what is the speed of the motorcycle as it reaches the lower side of the canyon?
Physics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

v = (78.0 i ^ - 70.27 j ^) m/s,      v = 105 m / s ,    θ = 318º

Explanation:

We have a projectile launch problem, let's start by calculating the time it takes to get through the canyon

        y = v_{oy} t - ½ gt2

As the motorcyclist comes out horizontally, the speed he has is the horizontal speed (vox) and the initial vertical speed is zero (I go = 0)

       y = 0 - ½ g t2

       t = √ 2y / g

       t = √ (2 252 /9.8)

       t = 7.17 s

Let's calculate the vertical speed for this time

        v_{y}  =  v_{oy}  - gt

        v_{y}  = 0 - gt

       v_{oy}  = - 9.8 7.17

       v_{oy}  = - 70.27 m / s

We can give the result in two ways

First:

    v = (78.0 i ^ - 70.27 j ^) m / s

Second:

using the Pythagorean theorem and trigonometry

   v² = vₓ² +  v_{oy} ²

   v = √ [(78.0)² + (-70.42)²] = √ (11042.98)

   v = 105 m / s

   tan θ₁ =  v_{y} y / vₓ

   tan θ₁ = -70.42 / 78.0

   θ₁ = 42º

If we measure this angle from the positive direction of the x-axis counterclockwise

    θ = 360 - θ₁

    θ = 360 - 42

    θ = 318º

You might be interested in
Light has a frequency of about 6 x1014 Hz.
abruzzese [7]

Answer:

The visible light frequency is 400 THz to 700 THz, approximately. A THz is a Terahertz, which is a unit of frequency equal to one trillion Hertz.

4 0
2 years ago
A 2-kg bowling ball sits on top of a building that is 40 meters tall.
Dahasolnce [82]
The bowling ball is at rest, so it only has gravitational potential energy.

Ug = mgy
Ug = (2)(9.8)(40) = 784 J

Need any more help?
6 0
3 years ago
Read 2 more answers
HELP ME HOW ARE BLACK HOLES FROMED
V125BC [204]

Answer:

Stellar black holes form when the center of a very massive star collapses in upon itself.

6 0
3 years ago
Read 2 more answers
(this is a practice not a test) I'm struggling to find the answers to this question, could you guys help me?​
GrogVix [38]

Answer:

10 28 54

Explanation:

3 0
3 years ago
If a person can't accompdate and the glasses is +2.50D. At which distance will the person see cleary
snow_tiger [21]

I believe the correct answer is 40 cm.

5 0
3 years ago
Other questions:
  • 3. A supersonic jet flying at 145 m/s experiences uniform acceleration at the rate of 23.1 m/s2 for 20.0 s.
    5·1 answer
  • The rate at which energy is transferred
    8·2 answers
  • Does the earths magnetic field change with time?
    13·1 answer
  • Why is soap solution a better cleansing agent than ordinary water?
    9·1 answer
  • Pink
    7·1 answer
  • A moving car has kinetic energy. If it speeds up until it is going four times faster than before, how much kinetic energy does i
    13·1 answer
  • A wave with a high amplitude______?
    13·1 answer
  • How fast does a 500 Hz wave travel if its wavelength is 0.5 m?
    15·2 answers
  • 2.5 x 103 kilogram truck with rubber tires moves through a 120 meter radius turn on a dry asphalt surface.
    8·1 answer
  • A 1,811 kg car goes over the top of a hill of radius 20 m. What is the maximum speed the car can
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!