A person is standing on a truck moving with a constant velocity of 15 m/s on a horizontal road. The man throws a ball in such a way that it returns to his hand after the truck has moved 60 m. (g = 10 m/s 2 )
Text Solution
Verified by ExpertsCHECK THE SOLUTION
(a,b,c) u T = 15 m/s (velocity of truck)

Range = 60 m
Range = distance travelled by truck u T × T
60 = 15 × T ⇒ T = 4s = Time of flight (of ball)
T =
where u y = Vertical component of ball's vel. {wrt ground}
∴
= u y i.e, u y =
= 20 m/s
Now vel. of truck = u x = horizontal component of ball's vel. (wrt ground)
⇒ u x = 15 m/s (wrt ground)
This is because both cover same horizontal distance in same time with constant velocity along horizontal.
Now, velocity, of vall wrt track = V BT Then V BTx = V Bx – V Tx
i.e., velocity ball wrt truck (along x axis) = velocity of ball (wrt earth, along x axis) – velocity of truck (along x axis)
∴ V BT x = 15 – 15 = 0
Similarly, V BT y = V By – V Ty = 20 – 0
V BTy = 20 m/s.
⇒
=
+
= 0 + 20 m/s 
⇒ velocity of ball wrt truck = 20 m/s upwards
velocity of ball,
=
+
= 15
+ 20 

tan θ =
θ = 53º
∴ speed =
=
=
= 25 m/s
i.e., vel. of ball (wrt ground) = 25 m/s at an angle of 53º with the horizontal (as shown)
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems