A car accelerates from 6 ms 16 ms'in 10 sec. Calculate the distance covered by the car in that time.
Answers
Explanation:
ATQ, a car accelerates from 6m/s to 16m/s in 10 seconds.
initial velocity = v = 6m/s
final velocity = u = 16m/s
total time taken = t = 10 seconds
acceleration = a = ?
➡ distance = s = ?
(a) using first equation of motion
➡ v = u + at
➡ 16m/s = 6m/s + 10a
➡ 16 - 6 = 10a
➡ 10m/s = 10a
➡ a = 10/10
➡ a = 1m/s²
hence, the acceleration of the car is 1m/s²
(b) now we can use two equation of motion 2nd and 3rd. answer will be same..
let's find the distance using both equations.
➡ s = ut + 1/2 at²
= (6 × 10) + 1/2 × 1 × 10²
= 60 + 1/2 × 100
= 60 + 50
= 110m
using 3rd equation
➡ 2as = v² - u² (here we don't need t = time)
➡ 2 × 1 × s = 16² - 6²
➡ 2s = 256 - 36
➡ s = 220/2
➡ s = 110m
hence, the distance covered by the car is 110m.
Explanation:
so the answer is on the picture