Calculating Bungee Jumper's Speed
What is the speed of a bungee jumper 10 seconds after jumping?
Answer: 98 m/s
Explanation: The speed of a bungee jumper 10 seconds after jumping is 98 m/s. In this problem, we need to find the speed of the jumper after 10 seconds. Initially, the bungee jumper was at rest. Let v be the speed after 10 seconds. Using the first equation of motion:
v = u + at
Here, u = 0 (initial speed) and a = g (acceleration due to gravity).
Therefore:
v = gt
v = 9.8 m/s2 * 10 s
v = 98 m/s
So, the speed of the bungee jumper 10 seconds after jumping is 98 m/s.
Why is the speed calculated as -98 m/s?
Answer: -98
Explanation: The negative sign is used in the calculation to indicate the direction of the velocity. In this case, it is negative because the acceleration due to gravity is acting downward. Therefore, the velocity is in the opposite direction to the conventionally chosen positive direction. By using -9.8 m/s2 as the acceleration due to gravity and calculating the velocity at t=10 seconds, we get -98 m/s. This negative sign signifies the velocity is down.
Understanding Bungee Jumper Speed Calculation
Bungee jumpers leap off high cliffs to enjoy the speed gravity gives them. The thrill of free fall followed by a sudden deceleration provided by the bungee cord creates a unique sensation for the jumper.
When a bungee jumper jumps off a high point, the initial speed is zero as they were at rest. The force of gravity acts on the jumper, accelerating them downwards. The velocity of the jumper can be calculated using the equation of motion, taking into account the acceleration due to gravity. In the specific scenario of a jumper 10 seconds after the jump, the speed is found to be 98 m/s.
It is essential to consider the sign of the velocity in such calculations. Negative velocities indicate motion in the opposite direction to the chosen positive direction. In the case of the jumper, the negative sign signifies that the velocity is directed downward, in alignment with the force of gravity pulling them towards the ground.
This understanding of velocity calculation in bungee jumping scenarios highlights the physics principles involved in the exhilarating activity. The interaction between gravity, acceleration, and velocity determines the speed at different points in the jumper's descent, providing a fascinating insight into the dynamics of bungee jumping adventures.