Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Examples from NCERT Book
Last updated at May 29, 2023 by Teachoo
Example 10.2 A car falls off a ledge and drops to the ground in 0.5 s. Let g = 10 m sβ2 (for simplifying the calculations). (i) What is its speed on striking the ground? (ii) What is its average speed during the 0.5 s? (iii) How high is the ledge from the ground? Since the car just falls off, Initial velocity = u = 0 m/s Time taken = t = 0.5 s Acceleration = +g = +10 m/s2 (Acceleration is positive because car falls downwards) (i) What is its speed on striking the ground? We need to find final velocity i.e. v We know u, a and t. Finding v using 1st equation of motion v = u + at v = 0 + 10 Γ 0.5 v = 5 m/s Therefore, Speed of car on striking ground is 5 m/s. (ii) What is its average speed during the 0.5 s? Finding average speed Average speed = (πΌπππ‘πππ π£ππππππ‘π¦ + πΉππππ π£ππππππ‘π¦)/2 = (π’ + π£)/2 = (0 + 5)/2 = 2.5 m/s Therefore, Average speed of car is 2.5 m/s (iii) How high is the ledge from the ground? Height of ledge will be the distance travelled i.e. s We know u, a and t Finding s using 2nd equation of motion. s = ut + 1/2 at2 = 0 Γ 0.5 + 1/2 Γ 10 Γ (0.5)2 = 0 + 1/2 Γ 10 Γ 0.25 = 0 + 5 Γ 0.25 = 5 Γ 25/100 = 5 Γ 1/4 = 1.25 m Height of ledge from the ground is 1.25 m