Kinematics of rectilinear motion - multiple displacements

Click For Summary
The discussion centers on calculating the initial distance between a cheetah and an antelope based on their speeds and acceleration. The cheetah runs at a maximum speed of 100 km/h and the antelope at 65 km/h, both reaching their speeds in 4 seconds. The problem states that the cheetah catches the antelope in 15 seconds, prompting the need to apply kinematic equations to find the initial distance. The user expresses difficulty in using the provided equations to arrive at the known answer of 126 meters. The focus is on understanding how to effectively utilize the kinematic formulas to solve the problem.
derRoboter
Messages
4
Reaction score
0

Homework Statement



A cheetah is estimated to be able to run at a maximum speed of 100km.h^1 whilst and antelope can run at a maximum speed of 65km.h^-1. A cheetah at rest sees an antelope at rest and starts running towards it. The antelope immediately starts running away. Both cheetah and antelope are assumed to move with constant acceleration and reach their maximum speeds in 4 seconds. Assuming that both run along the same straight line and that the cheetah catches the antelope in 15 seconds, find the distance between the animals when they first started moving. 2. Equations I have been given
v=u+at
s=ut+1/2at^2
v^2=u^2+2as
s=1/2(u+v)tmisc

I have been staring at this for a good hour now and am yet to come up with the answer which I know to be 126m. How do i find this value using those equations and the data given?

Kind regards, derRoboter
 
Last edited:
Physics news on Phys.org
anyone?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
View full post »

Similar threads

Finding the Distance Between Moving Animals with Constant Acceleration
  • · Replies 1 ·
Replies
1
Views
1K
Calculating Headstart for a Cheetah Chasing an Antelope
  • · Replies 2 ·
Replies
2
Views
7K
2D kinematics problem -- Skateboard ramp jump calculations
  • · Replies 4 ·
Replies
4
Views
2K
Motion puzzle: Bird flying between a train and a platform
  • · Replies 84 ·
3
Replies
84
Views
5K
Help with question on motion: Avoiding a rear-end collision
  • · Replies 6 ·
Replies
6
Views
3K
What is the Ideal Angle for a Frog's Jump to Reach 3 Meters Horizontally?
  • · Replies 19 ·
Replies
19
Views
2K
Analyzing Motion: Deriving Displacement Graphs from First Principles
  • · Replies 6 ·
Replies
6
Views
2K
How Far Apart Will the Cheetah and Antelope Be After 17 Seconds?
  • · Replies 5 ·
Replies
5
Views
8K
Ball's motion after one bounce off the ground - SUVAT Question (ENGAA 2017)
  • · Replies 4 ·
Replies
4
Views
2K
Projectile motion with ##N## bounces on the ground
  • · Replies 21 ·
Replies
21
Views
1K