Home
Class 12
MATHS
The front of a roller-coaster car is at ...

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

A

h = 8s + 15

B

`h=15s+335/8`

C

`h=8s+335/15`

D

h = 15s + 8

Text Solution

Verified by Experts

The correct Answer is:
A
It’s given that the front of the roller-coaster car starts rising when it’s 15 feet above the ground. This initial height of 15 feet can be represented by a constant term, 15, in an equation. Each second, the front of the roller-coaster car rises 8 feet, which can be represented by 8s. Thus, the equation h = 8s + 15 gives the height, in feet, of the front of the roller-coaster car s seconds after it starts up the hill.
Choices B and C are incorrect and may result from conceptual errors in creating a linear equation. Choice D is incorrect and may result from switching the rate at which the roller-coaster car rises with its initial height.
Promotional Banner

Similar Questions

Explore conceptually related problems

A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude?

A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where s = 16tsqrtt . Which of the following gives the average speed of the car, in inches per second, over the first t seconds after it starts?

A toy rocket is fired from ground level. The height of the rocket with respect to time can be represented by a quadratic function. If the toy rocket reaches a maximum height of 34 feet 3 seconds after it was fired, which of the following functions could represent the height, h, of the rocket t secnds after it was fired ?

During their daily training race, Carl has to stop to tie his shoes . Melissa, whose shoes are Velcro , continues to run and gets 20 feet ahead of Carl . Melissa is running at a constant rate of 8 feet per second , and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa . Which of the following equations , when solved for s, gives the number of seconds Carl will take to catch up to Melissa ?

The bottom of a ske slope is 6,500 feet above sea level,the top of the slope is 11,000 feet above sea level, and the slope drops 5 feet vertically for every 11 feet traveled in the horizontal direction. From the top of the slope, Kayla skis down at an average speed of 30 miles per hour. Which of the following function gives the best estimate for the distance above sea level, d, Kayla is t seconds after she begins her ski run where 6,500ltdlt11,000 ?

h=-16t^(2) + vt + k The equation above gives the height h, in feet, of a ball t seconds after it is thrown straight up with an initial speed of v feet per second from a height of k feet. Which of the following gives v in terms of h, t, and k ?

A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20m . The speed of the car at the top of the hill is between

A soccer ball is kicked upward from gound level with an initial velocity of 52 feet per second. The function h(t)=-16t^2+52t gives the ball's height , in feet , after t seconds. For how many seconds, to the nearest tenth of a second , is the ball at least 20 feet above the ground ?

Joe throws a ball upwards from a height of 12 feet from ground level. The height of the ball above the ground after time t second from when the ball was thrown is given by the expression h(t)= -t^(2)+at+b . The ball comes back to the ground after 8 second. What is the value of (a+b)?

When a ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the function h(t)=54t-12t^(2) . How many seconds after the ball is thrown will it return to the ground?