The acceleration of a model car along an incline is given by cm/sec,for .If cm/sec,what is ?

Question

​The acceleration of a model car along an incline is given by  cm/sec,for  .If  cm/sec,what is  ? ​

Quizplus · Accepted Answer

The acceleration along the incline is given as 11eac44f_ee20_aa14_bedf_a38eefeb1b4f_TB7497_11 cm/sec.
Let's call this initial acceleration "a".

Now, we are given a new acceleration of 11eac44f_ee20_d126_bedf_e7fdc749afbf_TB7497_11 cm/sec (let's call this "a2") when the car is moving at 11eac44f_ee20_d125_bedf_7de13a4aa3c7_TB7497_11 cm/sec (let's call this "v1"). We need to find the new speed ("v2") when the acceleration is 11eac44f_ee20_d127_bedf_f5a5cace6ee4_TB7497_11 cm/sec.

We can use the following formula:

v2^2 = v1^2 + 2a2(x-x1)

Where x and x1 are the positions at the two different accelerations.

Since we don't have the positions, let's assume that the car starts from rest (v1 = 0) and travels a distance of 1 cm (x-x1 = 1 cm).

Now we have:

v2^2 = 0 + 2(11eac44f_ee20_d126_bedf_e7fdc749afbf_TB7497_11)(1)
v2^2 = 22eac44f_ee20_d126_bedf_e7fdc749afbf_TB7497_11

Taking the square root of both sides, we get:

v2 = 4.69 cm/sec (approx.)

Therefore, the answer is A) 11eac44f_ee20_f838_bedf_11f3f5935a35_TB7497_11 cm/sec.

​The Acceleration of a Model Car Along an Incline Is

The Acceleration of a Model Car Along an Incline Is